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Popov Vladimir Leonidovich
(recent publications)
| by years | scientific publications | by types |



   2021
1. Vladimir L. Popov, “Algebraic groups whose orbit closures contain only finitely many orbits”, Transform. Groups, 26:2 (2021), 671–689 , arXiv: 1707.06914v2  mathnet  crossref  isi  scopus
2. Vladimir L. Popov, On algebraic group varieties, 2021 , 5 pp., arXiv: 2102.08032
3. Vladimir L. Popov, Yuri G. Zarhin, “Root systems in number fields”, Indiana Univ. Math. J., 70:1 (2021), 285–300 , arXiv: 1808.01136  mathnet  crossref  isi  scopus
4. Vladimir L. Popov, Underlying varieties and group structures, 2021 , 19 pp., arXiv: 2105.12861
5. Vladimir L. Popov, Embeddings of groups $\mathrm{Aut}(F_n)$ into automorphism groups of algebraic varieties, 2021 , 15 pp., arXiv: 2106.02072
6. V. L. Popov, Lektsii o diskretnykh gruppakh, porozhdennykh kompleksnymi otrazheniyami, Tri lektsii na shkole-konferentsii “Algebry Li, algebraicheskie gruppy i teoriya invariantov” (Samara 21–26 avgusta 2021 g.), 2021 (Published online) www.researchgate.net/publication/354052172_Lekcii_o_diskretnyh_gruppah_porozdennyh_kompleksnymi_otrazeniami}
7. V. L. Popov, “Gruppovye struktury na algebraicheskikh mnogoobraziyakh”, Dokl. RAN. Mat. inform. prots. upr., 500:1 (2021) (to appear)

   2020
8. S. I. Adian, V. M. Buchstaber, E. I. Zelmanov, S. V. Kislyakov, V. V. Kozlov, Yu. V. Matiyasevich, S. P. Novikov, D. O. Orlov, A. N. Parshin, V. L. Popov, D. V. Treschev, “Vladimir Petrovich Platonov (on his 80th birthday)”, Russian Math. Surveys, 75:2 (2020), 387–391  mathnet  crossref  crossref  isi
9. Vladimir L. Popov, “Variations on the theme of Zariski${}^{,}$s Cancellation Problem”, Polynomial Rings and Affine Algebraic Geometru, PRAAG 2018, Tokyo, Japan, February 12–16, 2018, Springer Proc. Math. Statist., 319, eds. S. Kuroda et al., Springer, Cham, 2020, 233–250 , arXiv: 1901.07030  mathnet  crossref  scopus;
10. V. L. Popov, Yu. G. Zarhin, “Rings of integers in number fields, and root lattices”, Dokl. Math., 101:3 (2020), 221–223  mathnet  crossref  crossref  isi  elib  scopus
11. Vladimir L. Popov, Yuri G. Zarhin, “Root lattices in number fields”, Bull. Math. Sci., 2020, 1–22 (Published online) , arXiv: 2002.04641  mathnet  crossref  scopus
12. V. L. Popov, G. V. Sukhotskii, Analiticheskaya geometriya : uchebnik i praktikum dlya vuzov, 2-e izd., pererab. i dop., Yurait, Moskva, 2020 , 232 pp. http://urait.ru/bcode/451230

   2019
13. V. L. Popov, “Three plots about the Cremona groups”, Izv. Math., 83:4 (2019), 830–859  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  scopus (cited: 1)  scopus (cited: 1)  scopus (cited: 1)
14. Vladimir L. Popov, “On conjugacy of stabilizers of reductive group actions”, Mathematical Notes, 105:4 (2019), 580–581 , arXiv: 1901.10858  mathnet  crossref  crossref  crossref  mathscinet  zmath  isi  elib  scopus  scopus  scopus
15. V. L. Popov, “Orbit closures of the Witt group actions”, Proc. Steklov Inst. Math., 307, Algebra, Number Theory, and Algebraic Geometry. Collected papers. In Memory of Academician Igor Rostislavovich Sharafevich (2019), 193–197  mathnet  crossref  crossref  isi (cited: 1)  elib  scopus (cited: 1)
16. V. L. Popov, “Rational differential forms on the variety of flexes of plane cubics”, Russian Math. Surveys, 74:3 (2019), 543–545  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
17. Algebra, teoriya chisel i algebraicheskaya geometriya, Sbornik statei. Posvyaschaetsya pamyati akademika Igorya Rostislavovicha Shafarevicha, Trudy MIAN, 307, ed. A. N. Parshin, V. L. Popov, S. O. Gorchinskii, Vik. S. Kulikov, MIAN, M., 2019 , 328 pp.  mathnet
18. V. L. Popov, “Sistemy kornei i reshetki kornei v chislovykh polyakh”, Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy, prilozheniya i problemy istorii. Materialy XVII Mezhdunarodnoi konferentsii, posvyaschennoi stoletiyu so dnya rozhdeniya professora N. I. Feldmana i devyanostoletiyu so dnya rozhdeniya professorov A. I. Vinogradova, A. V. Malysheva i B. F. Skubenko (Tula, 2328 sentyabrya 2019 g.), ISBN 5879543889, Biblioteka Chebyshevskogo sbornika, Tulskii gosudarstvennyi pedagogichekii universitet im. L. N. Tolstogo, Tula, 2019, 223–226
19. S. O. Gorchinskiy, Vik. S. Kulikov, A. N. Parshin, V. L. Popov, “Igor Rostislavovich Shafarevich and his mathematical heritage”, Proceedings of the Steklov Institute of Mathematics, 307, Algebra, Number Theory, and Algebraic Geometry, Collected papers. In Memory of Academician Igor Rostislavovich Shafarevich (2019), 1–21  mathnet  crossref  crossref  mathscinet  mathscinet  isi  elib  scopus

   2018
20. Vladimir L. Popov, “The Jordan property for Lie groups and automorphism groups of complex spaces”, Math. Notes, 103:5 (2018), 811–819  mathnet  crossref  mathscinet  isi (cited: 5)  elib  scopus (cited: 5)
21. Vladimir L. Popov, Three plots about the Cremona groups, 2018 , 27 pp., arXiv: 1810.00824
22. Victor G. Kac, Vladimir L. Popov, Editors, Lie Groups, Geometry, and Representation Theory. A Tribute to the Life and Work of Bertram Kostant, Series ISSN 0743-1643, ISBN 978-3-030-02191-7, Progress in Mathematics, 326, First Edition, Birkhäuser Basel (Copyright Holder: Springer Nature Switzerland AG), Basel, 2018 , X, 538 pp. www.springer.com/us/book/9783030021900  crossref  mathscinet  zmath
23. Vladimir L. Popov, Yuri G. Zarhin, Root symstems in number fields, Preprint MPIM 18-38, Max-Planck-Institut für Mathematik, Bonn, 2018 , 19 pp. www.mpim-bonn.mpg.de/preblob/5898
24. Vladimir L. Popov, “Modality of representations, and packets for $\theta$-groups”, Lie Groups, Geometry, and Representation Theory. A Tribute to the Life and Work of Bertram Kostant, Prog. Math., 326, Birkhäuser Basel (Copyright Holder: Springer Nature Switzerland AG), Basel, 2018, 459–479 , arXiv: 1707.07720  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)
25. V. L. Popov, “Compressible finite groups of birational automorphisms”, Dokl. Math., 98:2 (2018), 413–415  mathnet  crossref  crossref  zmath  isi  elib  scopus
26. V. L. Popov, Yu. G. Zarhin, “Types of root systems in number fields”, Dokl. Math., 98:3 (2018), 600–602  mathnet  crossref  crossref  isi  elib  scopus

   2017
27. Vladimir L. Popov, “Do we create mathematics or do we gradually discover theories which exist somewhere independently of us?”, Eur. Math. Soc. Newsl., 103 (2017), 37  mathnet
28. V. L. Popov, “Borel subgroups of Cremona groups”, Mathematical Notes, 102:1 (2017), 60-67  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  elib  scopus (cited: 3)
29. Vladimir L. Popov, Algebraic groups whose orbit closures contain only finitely many orbits, 2017 , 12 pp., arXiv: 1707.06914v1
30. Vladimir L. Popov, “Bass' triangulability problem”, Algebraic varieties and automorphism groups, Adv. Stud. Pure Math., 75, Math. Soc. Japan, Kinokuniya, Tokyo, 2017, 425–441 bookstore.ams.org/aspm-75/, arXiv: 1504.03867  mathnet  mathscinet  isi
31. Vladimir L. Popov, “Discrete groups generated by complex reflections”, VI-th conference on algebraic geometry and complex analysis for young mathematicians of Russia (Northern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 2530, 2017), Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2017, 13–14 www.mathnet.ru/php/conference.phtml?confid=1006&option_lang=eng
32. Gene Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Subseries: Invariant Theory and Algebraic Transformation Groups, Encyclopaedia of Mathematical Sciences, 136, no. VII, 2nd ed., eds. Revaz V. Gamkrelidze, Vladimir L. Popov, Springer, Berlin, 2017 , 316+i-xxii pp. https://link.springer.com/content/pdf/bfm  crossref  zmath
33. V. L. Popov, “On modality of representations”, Dokl. Math., 96:1 (2017), 312–314  mathnet  crossref  mathscinet  isi  elib  elib  scopus (cited: 1)

   2016
34. Vladimir L. Popov, “Birational splitting and algebraic group actions”, Eur. J. Math., 2:1 (2016), 283–290 https://www.math.uni-bielefeld.de/LAG/man/552.pdf, arXiv: 1502.02167  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  elib  scopus (cited: 6)
35. V. L. Popov, G. V. Sukhotskii, Analiticheskaya geometriya. Uchebnik i praktikum, Bakalavr. Akademicheskii kurs, 2-e izd., per. i dop., Yurait, Moskva, 2016 , 232 pp. http://urait.ru/catalog/388730
36. V. L. Popov, “Algebras of General Type: Rational Parametrization and Normal Forms”, Proc. Steklov Inst. Math., 292:1 (2016), 202–215  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus (cited: 1)
37. V. L. Popov, “Subgroups of the Cremona groups: Bass' problem”, Dokl. Math., 93:3 (2016), 307–309  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
38. V. L. Popov, “Rationality of (co)adjoint orbits”, International conference on algebraic geometry, complex analysis and computer algebra (Northern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 03–09, 2016), Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2016, 84–85 http://www.mathnet.ru/ConfLogos/805/thesis.pdf

   2015
39. Vladimir L. Popov, “Around the Abhyankar–Sathaye conjecture”, Documenta Mathematica, 2015, Extra Volume:Alexander S. Merkurjev's Sixtieth Birthday (The Book Series, Vol. 7), 513–528 https://www.math.uni-bielefeld.de/documenta/vol-merkurjev/popov.html, arXiv: 1409.6330 (ISSN 1431-0643 (INTERNET), 1431-0635 (PRINT))  mathnet  mathscinet  zmath
40. V. L. Popov, “Finite subgroups of diffeomorphism groups”, Proc. Steklov Inst. Math., 289 (2015), 221–226 , arXiv: 1310.6548v2  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 12)  elib  elib  scopus (cited: 9)
41. V. L. Popov, “Problema Bassa o trianguliruemosti podgrupp grupp Kremony”, V shkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlya molodykh matematikov Rossii (g. Koryazhma Arkhangelskoi oblasti, Filial Severnogo (Arkticheskogo) federalnogo universiteta im. M. V. Lomonosova, 17–22 avgusta 2015 g.), Matematicheskii institut im. V.A. Steklova Rossiiskoi akademii nauk, Moskva, 2015, 83–87 http://www.mathnet.ru/ConfLogos/604/thesis-Koryazhma.pdf
42. V. L. Popov, “Number of components of the nullcone”, Proc. Steklov Inst. of Math., 290 (2015), 84–90 , arXiv: 1503.08303  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 2)
43. Vladimir L. Popov, “On the equations defining affine algebraic groups”, Pacific J. Math., 279:1-2, Special issue. In memoriam: Robert Steinberg (2015), 423–446 http://msp.org/pjm/2015/279-1/p19.xhtml, arXiv: 1508.02860  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 1)
44. H. Derksen, G. Kemper, Computational Invariant Theory, with two Appendices by Vladimir L. Popov, and an Addendum by Norbert A'Campo and Vladimir L. Popov, Encyclopaedia of Mathematical Sciences, subseries “Invariant Theory and Algebraic Transformation Groups”, 130, no. VIII, Second Enlarged Edition, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, Heidelberg, 2015 , 387 pp.  crossref  mathscinet  zmath  isi
45. Vladimir L. Popov, “Is one of the two orbits in the closure of the other?”, Appendix B in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries Invariant Theory and Algebraic Transformation Groups, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed., Springer, Berlin, 2015, 309–322 www.springer.com/gp/book/9783662484203  crossref  mathscinet  isi
46. Vladimir L. Popov, “Stratification of the nullcone”, Appendix C in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries Invariant Theory and Algebraic Transformation Groups, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 323–344 www.springer.com/gp/book/9783662484203  mathscinet  isi
47. Norbert A'Campo, Vladimir L. Popov, “The source code of HNC”, Addendum to Appendix C in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries Invariant Theory and Algebraic Transformation Groups, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 345–358 www.springer.com/gp/book/9783662484203  mathscinet  isi

   2014
48. V. L. Popov, “Quotients by conjugation action, cross-sections, singularities,and representation rings”, Representation Theory and Analysis of Reductive Groups: Spherical Spaces and Hecke Algebras (Mathematisches Forschungsinstitut Oberwolfach, 19 January – 25 January 2014), Oberwolfach Reports, 11, no. 1, European Mathematical Society, 2014, 156–159
49. V. L. Popov, “On infinite dimensional algebraic transformation groups”, Transform. Groups, 19:2, special issue dedicated to E. B. Dynkin's 90th anniversary (2014), 549–568 https://www.math.uni-bielefeld.de/LAG/man/523.pdf, arXiv: 1401.0278  mathnet  crossref  mathscinet  zmath  isi (cited: 13)  elib (cited: 1)  scopus (cited: 12)
50. V. L. Popov, “Jordan groups and automorphism groups of algebraic varieties”, Automorphisms in birational and affine geometry, Springer Proceedings in Mathematics & Statistics, 79, Springer, 2014, 185–213 https://www.math.uni-bielefeld.de/LAG/man/508.pdf, arXiv: 1307.5522  mathnet  crossref  mathscinet  zmath  scopus (cited: 28)
51. N. A. Vavilov, È. B. Vinberg, I. A. Panin, A. N. Panov, A. N. Parshin, V. P. Platonov, V. L. Popov, “Valentin Evgen'evich Voskresenskii (obituary)”, Russian Math. Surveys, 69:4 (2014), 753–754  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
52. V. L. Popov, “Jordaness of the automorphism groups of varieties and manifolds”, Modern Problems of Mathematics and Natural Sciences (Koryazhma, September 15–18, 2014), Northern (Arctic) Federal M. V. Lomonosov University, Koryazhma, 2014, 66–70

   2013
53. V. L. Popov, “Tori in the Cremona groups”, Izv. Math., 77:4, special issue on the occasion of I. R. Shafarevich's 90th anniversary (2013), 742–771 https://www.math.uni-bielefeld.de/LAG/man/474.pdf  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 4)
54. S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, Russian Math. Surveys, 68:1 (2013), 189–197  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
55. V. L. Popov, “Some subgroups of the Cremona groups”, Affine algebraic geometry, Proceedings of the conference on the occasion of M. Miyanishi's 70th birthday (Osaka, Japan, 3–6 March 2011), World Scientific Publishing Co., Singapore, 2013, 213–242 https://www.math.uni-bielefeld.de/LAG/man/448.pdf  crossref  zmath  isi (cited: 10)
56. V. L. Popov, “Algebraic groups and the Cremona group”, Algebraic groups (Mathematisches Forschungsinstitut Oberwolfach, 7 April – 13 April 2013), Oberwolfach Reports, 10, no. 2, European Mathematical Society, 2013, 1053–1055
57. V. L. Popov, “Rationality and the FML invariant”, Journal of the Ramanujan Mathematical Society, 28A (2013), 409–415 http://www.mathjournals.org/jrms/2013-028-000/2013-28A-SPL-017.html, https://www.math.uni-bielefeld.de/LAG/man/485.pdf (special Issue-2013 dedicated to C. S. Seshadri's 80th birthday)  mathnet  mathscinet  zmath  isi (cited: 4)

   2012
58. V. L. Popov, Editor's preface to the Russian translation of the book: D. A. Cox, S. Katz, Mirror symmetry and algebraic geometry, ed. V. L. Popov, MCCME, Moscow, 2012, 5
59. V. L. Popov, “Problems for the problem session”, International conference “Groups of Automorphisms in Birational and Affine Geometry” (Levico Terme (Trento), October 29th – November 3rd, 2012), 2012 , 2 pp. http://www.science.unitn.it/cirm/Trento_postersession.html

   2011
60. J.-L. Colliot-Thélène, B. Kunyavskiĭ, V. L. Popov, Z. Reichstein, “Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?”, Compos. Math., 147:2 (2011), 428–466  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 6)
61. V. L. Popov, “Cross-sections, quotients, and representation rings of semisimple algebraic groups”, Transform. Groups, 16:3, special issue dedicated to Tonny Springer on the occasion of his 85th birthday (2011), 827–856  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 4)  scopus (cited: 5)
62. V. L. Popov, “On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties”, Affine algebraic geometry: the Russell Festschrift, CRM Proceedings and Lecture Notes, 54, Amer. Math. Soc., 2011, 289–311 https://www.math.uni-bielefeld.de/LAG/man/375.pdf  crossref  mathscinet  zmath  isi (cited: 38)
63. V. L. Popov, “Invariant rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjecture”, Algebra and Mathematical Logic, International conference commemorating $100$th birthday of professor V. V. Morozov (Kazan, September 25–30, 2011), Kazan Federal Univ., Kazan, 2011, 19
64. D. A. Timashev, Homogeneous spaces and equivariant embeddings, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VIII, 138, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011 , 253 pp.  crossref  mathscinet  zmath  isi
65. H. E. A. E. Campbell, D. L. Wehlau, Modular invariant theory, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, IX, 139, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011 , 233 pp.  crossref  mathscinet  isi

   2010
66. V. Popov, “Discrete complex reflection groups”, Geometry, topology, algebra and number theory, applications, The international conference dedicated to the 120th anniversary of Boris Nikolaevich Delone (1890–1980) (August 16–20, 2010), Steklov Mathematical Institute, Moscow State University, Moscow, 2010, 140


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