Persons: Zhgoon, Vladimir Sergeevich

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Zhgoon, Vladimir Sergeevich

Statistics Math-Net.Ru
Total publications:	20
Scientific articles:	20
Presentations:	43

Number of views:
This page:	2653
Abstract pages:	6635
Full texts:	2018
References:	845

Candidate of physico-mathematical sciences (2008)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

E-mail:

Keywords:

discrete reflection groups, fundamental chamber, dual cone, Brauer fixed point theorem, miniscule representation, del Pezzo surfaces, universal torsor, Mumford quotient.

https://www.mathnet.ru/eng/person20802

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/794447

	Publications in Math-Net.Ru	Citations
	2025
1.	V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “On finiteness theorems for generalized Jacobians with nontrivial torsion”, Mat. Sb., 216:4 (2025), 113–131
	2023
2.	V. P. Platonov, V. S. Zhgoon, G.V. Fedorov, “On the finiteness of the set of generalized Jacobians with nontrivial torsion points over algebraic number fields”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023), 66–70 ; Dokl. Math., 108:2 (2023), 382–386	2
	2022
3.	R. S. Avdeev, V. S. Zhgoon, “On the existence of $B$-root subgroups on affine spherical varieties”, Dokl. RAN. Math. Inf. Proc. Upr., 503 (2022), 5–10 ; Dokl. Math., 105:2 (2022), 51–55	1
4.	G. V. Fedorov, V. S. Zhgoon, M. M. Petrunin, Yu. N. Shteinikov, “On the Parametrization of Hyperelliptic Fields with $S$-Units of Degrees 7 and 9”, Mat. Zametki, 112:3 (2022), 444–452 ; Math. Notes, 112:3 (2022), 451–457
5.	V. P. Platonov, V. S. Zhgoon, M. M. Petrunin, “On the problem of periodicity of continued fraction expansions of $\sqrt{f}$ for cubic polynomials $f$ over algebraic number fields”, Mat. Sb., 213:3 (2022), 139–170 ; Sb. Math., 213:3 (2022), 412–442	4
	2020
6.	V. P. Platonov, V. S. Zhgoon, M. M. Petrunin, “On the problem of periodicity of continued fraction expansions of $\sqrt{f}$ for cubic polynomials over number fields”, Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020), 32–37 ; Dokl. Math., 102:1 (2020), 288–292	5
7.	V. S. Zhgoon, F. Knop, “On the action of the restricted Weyl group on the set of orbits a minimal parabolic subgroup”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 29–34 ; Dokl. Math., 101:1 (2020), 25–29
	2018
8.	V. P. Platonov, M. M. Petrunin, V. S. Zhgoon, Yu. N. Shteinikov, “On the Finiteness of Hyperelliptic Fields with Special Properties and Periodic Expansion of $\sqrt f$”, Dokl. Akad. Nauk, 483:6 (2018), 609–613 ; Dokl. Math., 98:3 (2018), 641–645	12
9.	V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “On the Periodicity of Continued Fractions in Hyperelliptic Fields over Quadratic Constant Field”, Dokl. Akad. Nauk, 482:2 (2018), 137–141 ; Dokl. Math., 98:2 (2018), 430–434	12
	2017
10.	V. S. Zhgoon, “On generalized Jacobians and rational continued fractions in the hyperelliptic fields”, Chebyshevskii Sb., 18:4 (2017), 209–221	8
	2016
11.	V. P. Platonov, V. S. Zhgoon, G. V. Fedorov, “Continued Rational Fractions in Hyperelliptic Fields and the Mumford Representation”, Dokl. Akad. Nauk, 471:6 (2016), 640–644 ; Dokl. Math., 94:3 (2016), 692–696	20
	2015
12.	V. S. Zhgoon, “Little Weyl groups and variety of degenerate horospheres”, Chebyshevskii Sb., 16:4 (2015), 164–187
	2013
13.	V. P. Platonov, V. S. Zhgun, M. M. Petrunin, “On the simplicity of Jacobians for hyperelliptic curves of genus 2 over the field of rational numbers with torsion points of high order”, Dokl. Akad. Nauk, 450:4 (2013), 385–388 ; Dokl. Math., 87:3 (2013), 318–321	7
	2010
14.	V. S. Zhgoon, “On embeddings of universal torsors over del Pezzo surfaces in cones over flag varieties”, Izv. RAN. Ser. Mat., 74:5 (2010), 3–44 ; Izv. Math., 74:5 (2010), 883–923
	2009
15.	P. V. Bibikov, V. S. Zhgoon, “On tilings related to discrete reflection groups”, Izv. RAN. Ser. Mat., 73:6 (2009), 29–38 ; Izv. Math., 73:6 (2009), 1101–1109	1
16.	P. V. Bibikov, V. S. Zhgoon, “On Waldspurger's theorem”, Uspekhi Mat. Nauk, 64:5(389) (2009), 177–178 ; Russian Math. Surveys, 64:5 (2009), 947–949	3
	2008
17.	V. S. Zhgoon, “Variation of Mumford quotients by torus actions on full flag varieties. II”, Mat. Sb., 199:3 (2008), 25–44 ; Sb. Math., 199:3 (2008), 341–359	2
	2007
18.	V. S. Zhgoon, “Variation of Mumford quotients by torus actions on full flag varieties. I”, Izv. RAN. Ser. Mat., 71:6 (2007), 29–46 ; Izv. Math., 71:6 (2007), 1105–1122	4
19.	V. S. Zhgoon, D. V. Mironov, “Separating Systems of Weyl Chambers”, Mat. Zametki, 82:2 (2007), 310–314 ; Math. Notes, 82:2 (2007), 272–276	2
20.	V. S. Zhgoon, D. V. Mironov, “On separating systems of Weyl chambers for a root system of type $\mathsf D_l$”, Uspekhi Mat. Nauk, 62:6(378) (2007), 171–172 ; Russian Math. Surveys, 62:6 (2007), 1228–1230	1

Presentations in Math-Net.Ru

1.	Теоремы конечности для обобщенных якобианов с нетривиальным кручением (по совместной работе с В. П. Платоновым и Г. В. Федоровым) V. S. Zhgoon Memorial conference dedicated to the memory of A. N. Parshin November 12, 2024 15:30
2.	Inequalities for Chern numbers of Fano varieties and varieties of general type V. S. Zhgoon Iskovskikh Seminar November 30, 2023 18:00
3.	B-нормализуемые действия аддитивной группы на произвольных сферических многообразиях V. S. Zhgoon The 10th Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 29, 2023 15:30
4.	О $B$-нормализуемых аддитивных подгруппах в сферических многообразиях V. S. Zhgoon Geometry, Algebra and Representation theory July 3, 2022 15:00
5.	On $B$-normalizable additive subgroups in spherical varieties V. S. Zhgoon “Algebra, algebraic geometry, and number theory”. Memorial conference for academician Igor Rostislavovich Shafarevich June 6, 2022 11:00
6.	On the action of the Weyl group on Borel subgroup orbits of premaximal rank V. S. Zhgoon Lie groups and invariant theory March 4, 2020 16:45
7.	О действии группы Вейля на орбитах борелевской погруппы предмаксимального ранга V. S. Zhgoon VIII Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 27, 2020 17:40
8.	Симплектические многообразия и их связь с геометрией однородных пространств с действием редуктивной группы V. S. Zhgoon October 25, 2019 17:00
9.	The Weyl group action on the orbits of a minimal parabolic subgroup over a non-algebraically closed field V. S. Zhgoon Lie groups and invariant theory March 6, 2019 16:45
10.	Теоремы конечности для сферических многообразий над совершенным полем V. S. Zhgoon Alexei Zykin memorial conference June 21, 2018 12:15
11.	On the conference "Geometry and Representation Theory of Algebraic Groups" R. S. Avdeev, V. S. Zhgoon Lie groups and invariant theory March 14, 2018 16:45
12.	Complexity of homogeneous spaces over a non-algebraically closed field V. S. Zhgoon Lie groups and invariant theory October 4, 2017 16:45
13.	Геометрия отображения моментов симплектических многообразий с инвариантными лагранжевыми подмногообразиями V. S. Zhgoon VI Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory February 1, 2017 17:40
14.	Hamiltonian actions and normalizations of nilpotent orbits (based on a paper by R. Brylinski and B. Kostant) V. S. Zhgoon Lie groups and invariant theory December 14, 2016 16:45
15.	Группы отражений, лекция 2 V. S. Zhgoon February 17, 2016
16.	Why is the little Weyl group generated by reflections? V. S. Zhgoon Lie groups and invariant theory October 9, 2013 16:45
17.	Spherical varieties and their birational geometry V. S. Zhgun Iskovskikh Seminar September 27, 2012 18:00
18.	Whittaker models of $p$-adic groups representaions (after Casselman and Shalika) V. S. Zhgoon Seminar on Arithmetic Algebraic Geometry December 7, 2011 12:00
19.	Cohomologies of arithmetic groups 2 V. S. Zhgoon The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory" November 28, 2011 18:00
20.	Cohomologies of arithmetic groups V. S. Zhgoon The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory" November 21, 2011 18:00
21.	Симплектические многообразия с инвариантными лагранжевыми подмногообразиями (совместная работа с Д. А. Тимашёвым) V. S. Zhgun Weekly seminar of Laboratory of algebraic geometry September 23, 2011 17:00
22.	The Atiyah-Bott formula and the character formula for reductive $p$-adic groups (by paper of L. Сlozel) V. S. Zhgoon Seminar on Arithmetic Algebraic Geometry April 6, 2011 13:00
23.	On the Borel-Weil-Bott theorem and the Weyl character formula V. S. Zhgoon Seminar on Arithmetic Algebraic Geometry December 22, 2010 11:00
24.	Геометрия кокасательного расслоения и малая группа Вейля V. S. Zhgoon Seminar by Algebra Department December 7, 2010 15:00
25.	Конструкция алгебр Гекке с помощью вычетов (по работе Гинзбурга, Капранова, Вассеро) V. S. Zhgoon Seminar on Arithmetic Algebraic Geometry December 3, 2009 15:00
26.	Об универсальных подпространствах в представлениях компактных групп Ли (по статье Jinpeng An и Dragomir Dokovich) V. Zhgoon Lie groups and invariant theory October 14, 2009
27.	Эквивариантная геометрия кокасательных расслоений V. Zhgoon Lie groups and invariant theory September 16, 2009
28.	Трехмерная кубика. Промежуточный якобиан, теория Клеменса–Гриффитса (продолжение) V. S. Zhgoon Iskovskikh Seminar March 26, 2009 18:00
29.	Трехмерная кубика. Промежуточный якобиан, теория Клеменса–Гриффитса V. S. Zhgoon Iskovskikh Seminar March 19, 2009 18:00
30.	Классификация целочисленных симметрических матриц с собственными значениями из отрезка $[-2,2]$ (по работе J. McKee, C. Smyth) V. S. Zhgoon Lie groups and invariant theory November 12, 2008
31.	Микровесовые представления и поверхности дель-Пеццо V. S. Zhgoon Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 9, 2008
32.	Микровесовые представления и поверхности дель-Пеццо V. S. Zhgoon Lie groups and invariant theory March 19, 2008
33.	Теорема о локальной структуре и эквивариантная геометрия кокасательного расслоения V. S. Zhgoon Lie groups and invariant theory December 5, 2007
34.	Представления $p$-адических групп (окончание) V. S. Zhgoon Seminar on Arithmetic Algebraic Geometry October 17, 2006 11:30
35.	О централизаторе $K$ в $U(g)$ (по работе Б. Костанта) V. S. Zhgoon Lie groups and invariant theory October 11, 2006
36.	Представления $p$-адических групп (продолжение) V. S. Zhgoon Seminar on Arithmetic Algebraic Geometry October 10, 2006 11:30
37.	Представления $p$-адических групп V. S. Zhgoon Seminar on Arithmetic Algebraic Geometry October 3, 2006 11:30
38.	Комплекс Де Рама–Витта и кристаллические когомологии (продолжение) V. S. Zhgun Seminar on Arithmetic Algebraic Geometry April 12, 2006
39.	Комплекс Де Рама–Витта и кристаллические когомологии V. S. Zhgun Seminar on Arithmetic Algebraic Geometry April 5, 2006
40.	Торические вырождения сферических многообразий (по работе V. Alexeev и M. Brion) V. S. Zhgoon Lie groups and invariant theory November 23, 2005 16:20
41.	Когомологии арифметических групп (продолжение) V. S. Zhgoon Seminar on Arithmetic Algebraic Geometry April 27, 2005
42.	Вычисление группы Пикара для фактора Мамфорда действия тора на многообразии полных флагов V. S. Zhgoon Lie groups and invariant theory April 20, 2005 16:20
43.	Когомологии арифметических групп (теория Бореля) V. S. Zhgoon Seminar on Arithmetic Algebraic Geometry April 13, 2005

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