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



   2020
1. Vladimir L. Popov, “Variations on the theme of Zariski$\hskip -.5mm\acute{}\hskip -.8mm$s Cancellation Problem”, Polynomial Rings and Affine Algebraic Geometry (PRAAG) (Tokyo, Japan, 2018), Springer Proceedings in Mathematics & Statistics, Springer, Cham, Heidelberg, New York, 2020 (to appear) , arXiv: 1901.07030

   2019
2. V. L. Popov, “Three plots about the Cremona groups”, Izv. Math., 83:4 (2019), 830–859  mathnet  crossref  crossref  isi  elib  scopus  scopus  scopus
3. Vladimir L. Popov, “On conjugacy of stabilizers of reductive group actions”, Mathematical Notes, 105:4 (2019), 580–581 , arXiv: 1901.10858  mathnet  crossref  crossref  isi  elib  scopus
4. V. L. Popov, “Orbit closures of the Witt group actions”, Proc. Steklov Inst. Math., 307, 2019 (to appear)  mathnet  crossref
5. 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  isi  elib  scopus
6. Algebra, teoriya chisel i algebraicheskaya geometriya, Sbornik statei. Posvyaschaetsya pamyati akademika Igorya Rostislavovicha Shafarevicha, Tr. MIAN, 307, ed. A. N. Parshin, V. L. Popov, S. O. Gorchinskii, Vik. S. Kulikov, MIAN, M., 2019  mathnet
7. Vladimir L. Popov, Yuri G. Zarhin, “Root systems in number fields”, Indiana University Mathematics Journal, 2019, Online First preprint no. 8257, 1–15 (Published online) www.iumj.indiana.edu/IUMJ/Preprints/8257.pdf, arXiv: 1808.01136 (printed version is to appear in 2020)
8. 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
9. S. O. Gorchinskiy, Vik. S. Kulikov, A. N. Parshin, V. L. Popov, Algebra, number theory, and algebraic geometry, Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich, Tr. Mat. Inst. Steklova, 307, Steklov Mathematical Institute of RAS, Moscow, 2019 (to appear)  mathnet  crossref

   2018
10. 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: 2)  elib  scopus (cited: 1)
11. Vladimir L. Popov, Yuri G. Zarhin, Root systems in number fields, 2018 , 15 pp., arXiv: 1808.01136
12. Vladimir L. Popov, Three plots about the Cremona groups, 2018 , 27 pp., arXiv: 1810.00824
13. 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
14. 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
15. 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  scopus
16. V. L. Popov, “Compressible finite groups of birational automorphisms”, Dokl. Math., 98:2 (2018), 413–415  mathnet  crossref  crossref  zmath  isi  elib  scopus
17. 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
18. Vladimir L. Popov, “Do we create mathematics or do we gradually discover theories which exist somewhere independently of us?”, Eur. Math. Soc. Newsl., 107 (2017), 37  mathnet
19. V. L. Popov, “Borel subgroups of Cremona groups”, Mathematical Notes, 102:1 (2017), 60-67  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib  scopus (cited: 2)
20. Vladimir L. Popov, Algebraic groups whose orbit closures contain only finitely many orbits, 2017 , 12 pp., arXiv: 1707.06914v1
21. 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  isi
22. 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
23. 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
24. V. L. Popov, “On modality of representations”, Dokl. Math., 96:1 (2017), 312–314  mathnet  crossref  mathscinet  isi  elib  scopus (cited: 1)

   2016
25. 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: 3)  elib  scopus (cited: 2)
26. 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
27. 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)
28. 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
29. 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
30. 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
31. V. L. Popov, “Finite subgroups of diffeomorphism groups”, Proc. Steklov Inst. Math., 289 (2015), 221–226 , arXiv: 1310.6548v2  mathnet  crossref  crossref  isi (cited: 10)  elib  elib  scopus (cited: 6)
32. 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
33. V. L. Popov, “Number of components of the nullcone”, Proc. Steklov Inst. of Math., 290 (2015), 84–90 , arXiv: 1503.08303  mathnet  crossref  crossref  isi (cited: 2)  elib  elib  scopus (cited: 2)
34. 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  isi  scopus (cited: 1)
35. 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  isi
36. 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  isi
37. 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  isi
38. 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  isi

   2014
39. 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
40. 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: 10)  elib (cited: 1)  scopus (cited: 9)
41. 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: 22)
42. 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
43. 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
44. 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)
45. 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
46. 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  isi (cited: 10)
47. 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
48. 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: 3)

   2012
49. 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
50. 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
51. 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)
52. 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)
53. 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  mathscinet  zmath  isi (cited: 28)
54. 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
55. 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
56. 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
57. 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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