Список публикаций

lgebras revisited.  https://arxiv.org/abs/2401.06241  , 13 pages

И.С.Бельдиев. Группа изометрий решетки K0(Pn). Математические заметки, 115:4 (2024), 552-567

2023

А.Н.Трушин. Градуированные автоморфизмы алгебры многочленов от трех переменных .  Математические заметки, 113:5 (2023), 780-784
Roman Avdeev and Vladimir Zhgoon. On B-root subgroups on horospherical varieties .  https://arxiv.org/abs/2312.03377, 13 pages
Ivan Arzhantsev. Normally located polyhedra  https://arxiv.org/abs/2301.02688, 8 pages
Ivan Arzhantsev. On conjugacy of additive actions in the affine Cremona group.  https://arxiv.org/abs/2308.12096  , 6 pages
Ivan Arzhantsev. On images of affine spaces . Indagationes Mathematicae  34 (2023), no. 4, 812-819
Ivan Arzhantsev and Mikhail Zaidenberg. Tits-type alternative for certain groups acting on algebraic surfaces.  Proceedings of the American Mathematical Society  151 (2023), no. 7, 2813-2829
Ivan Arzhantsev and Yulia Zaitseva. Affine homogeneous varieties and suspensions.  https://arxiv.org/abs/2309.06170, 11 pages
Ivan Beldiev. Gorenstein algebras and uniqueness of additive actions.  Results in Mathematics  78 (2023), no. 5, article 192
Ilya Boldyrev, Sergey Gaifullin, and Anton Shafarevich. Modified Derksen invariant.  https://arxiv.org/abs/2312.08421, 12 pages
Nikhilesh Dasgupta and Sergey Gaifullin. On locally nilpotent derivations of polynomial algebra in three variables.  https://arxiv.org/abs/2306.00510, 29 pages
Nikhilesh Dasgupta and Animesh Lahiri. Isotropy subgroups of some almost rigid domains .  Journal of Pure and Applied Algebra  227 (2023), no. 4, article 107250
Polina Evdokimova, Sergey Gaifullin and Anton Shafarevich. Rigid trinomial varieties.  https://arxiv.org/pdf/2307.06672.pdf, 8 pages
Evgeny Feigin, Igor Makhlin, and Alexander Popkovich. Beyond the Sottile-Sturmfels degeneration of a semi-infinite Grassmannian.  International Mathematics Research Notices IMRN  2023 (2023), no. 12, 10037–10066
Sergey Gaifullin and Dmitriy Chunaev. Varieties with a torus action of complexity one having a finite number of automorphism group orbits. https://arxiv.org/abs/2311.02481, 7 pages
Ivan Kaygorodov, Viktor Lopatkin, and Zerui Zhang. Transposed Poisson structures on Galilean and solvable Lie algebras . Journal of Geometry and Physics  187 (2023), article 104781
Veronika Kikteva. Generalization of the ABC Theorem on locally nilpotent derivations.  https://arxiv.org/abs/2309.13971, 13 pages 
Alexei Lisitsa, Viktor Lopatkin, and Alexei Vernitski. Describing realizable Gauss diagrams using the concepts of parity or bipartite graphs . Journal of Knot Theory and Its Ramifications  32 (2023), no. 10, article 2350059
Alexander Perepechko. Generic flexibility of affine cones over del Pezzo surfaces in Sagemath.  https://arxiv.org/abs/2305.06462, 10 pages
Alexander Perepechko. Structure of connected nested automorphism groups.  https://arxiv.org/abs/2312.08359, 9 pages
Alexander Perepechko and Andriy Regeta. When is the automorphism group of an affine variety nested?  Transformation Groups  28 (2023), no.1, 401-412
Ekaterina Presnova and Evgeny Smirnov. Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes.  https://arxiv.org/abs/2312.01417, 21 pages
Anton Shafarevich. Euler-symmetric projective toric varieties and additive actions . Indagationes Mathematicae  34 (2023), no. 1, 42-53
Anton Shafarevich and Anton Trushin. On the automorphism group of a toral variety . Mathematical Communications  28 (2023), no. 2, 277-291
Yulia Zaitseva. Affine monoids of corank one.  https://arxiv.org/abs/2312.08316, 15 pages

2022

Р.С.Авдеев и В.С.Жгун. О существовании B-корневых подгрупп на аффинных сферических многообразиях .  Доклады РАН. Математика, информатика, процессы управления 503 (2022), 5-10
И.В.Аржанцев. Автоморфизмы алгебраических многообразий и бесконечная транзитивность .  Алгебра и анализ, 34:2 (2022), 1-55
И.В.Аржанцев и Ю.И.Зайцева. Эквивариантные пополнения аффинных пространств .  Успехи математических наук 77:4 (466) (2022), 3-90
И.В.Аржанцев, Ю.И.Зайцева, К.В.Шахматов. Однородные алгебраические многообразия и степень транзитивности .  Труды МИАН 318 (2022), 17-30
С.А.Гайфуллин. Орбиты групп автоморфизмов орисферических многообразий и группа классов дивизоров .  Труды МИАН 318 (2022), 43-50
Hassan Alhussein, Pavel Kolesnikov, and Viktor Lopatkin.  Morse matching method for conformal cohomologies. https://arxiv.org/abs/2204.10837, 22 pages
Ivan Arzhantsev and Roman Avdeev. Root subgroups on affine spherical varieties . Selecta Mathematica , New Series 28 (2022), no. 3, article 60
Ivan Arzhantsev and Kirill Shakhmatov. Some finiteness results on triangular automorphisms . Results in Mathematics  77 (2022), no. 2, article 75
Ivan Arzhantsev, Alexander Perepechko, and Kirill Shakhmatov. Radiant toric varieties and unipotent group actions.  https://arxiv.org/abs/2209.04021, 24 pages
Ivan Arzhantsev and Mikhail Zaidenberg. Tits-type alternative for groups acting on toric affine varieties . International Mathematics Research Notices IMRN  2022 (2022), no. 11, 8162–8195
Boris Bilich. Classification of noncommutative monoid structures on normal affine surfaces . Proceedings of the American Mathematical Society  150 (2022), no. 10, 4129-4144
Ilya Boldyrev. Makar-Limanov invariants of nonnormal affine toric varieties.  https://arxiv.org/abs/2212.06446, 13 pages
Viktoriia Borovik, Sergey Gaifullin, and Anton Trushin. Commutative actions on smooth projective quadrics.  Communications in Algebra  50 (2022), no. 12, 5468-5476
Alisa Chistopolskaya. On nilpotent generators of the symplectic Lie algebra . Linear and Multilinear Algebra  70 (2022), no. 3, 490-496
Alisa Chistopolskaya and Grigory Taroyan. Infinite transitivity for automorphism group of the affine plane.  https://arxiv.org/abs/2202.02214, 14 pages
Sergey Dzhunusov. On uniqueness of additive actions on complete toric varieties . Journal of Algebra  609 (2022), 642-656
Sergey Gaifullin and Anton Shafarevich. Modified Makar-Limanov and Derksen invariants.  https://arxiv.org/abs/2212.05899, 8 pages 
Sergey Gaifullin and Georgiy Shirinkin. Orbits of automorphism group of trinomial hypersurfaces.  https://arxiv.org/abs/2205.02513, 18 pages
Viktor Lopatkin. On meandric permutations.  https://arxiv.org/abs/2208.09752, 13 pages
Alexander Perepechko and Andriy Regeta. Automorphism groups of affine varieties without non-algebraic elements.  https://arxiv.org/abs/2203.08950, 6 pages
Alexander Perepechko and Mikhail Zaidenberg. Automorphism groups of rigid affine surfaces: the identity component.  https://arxiv.org/abs/2208.09738, 30 pages
Anton Trushin. Gradings allowing wild automorphisms . Journal of Algebra and its Applications  21 (2022), no. 8, article 2250160

2021

И.А. Болдырев и С.А. Гайфуллин. Автоморфизмы ненормальных торических многообразий .  Математические заметки, 110:6 (2021), 837-855
A. Ю. Перепечко. Автоморфизмы поверхностей марковского типа .  Математические заметки, 110:5 (2021), 744-750
К. В. Шахматов. Гладкие непроективные эквивариантные пополнения аффинного пространства .  Математические заметки, 109:6 (2021), 929-937
Ivan Arzhantsev.  Limit points and additive group actions . Ricerche di Matematica . Published online (2021), 10 pages
Ivan Arzhantsev, Alvaro Liendo, and Taras Stasyuk. Lie algebras of vertical derivations on semiaffine varieties with torus actions . Journal of Pure and Applied Algebra  225 (2021), no. 2, 106499: 1-18
Victoria Borovik, Sergey Gaifullin, and Anton Shafarevich. On orbits of automorphism groups on horospherical varieties.  https://arxiv.org/abs/2105.05897, 10 pages
Sergey Gaifullin. Automorphisms of Danielewski varieties . Journal of Algebra  573 (2021), 364-392
Vsevolod Gubarev and Alexander Perepechko. Injective Rota-Baxter operators of weight zero on F[x] . Mediterranean Journal of Mathematics  18 (2021), art. no. 267
Sergey Dzhunusov. Additive actions on complete toric surfaces . International Journal of Algebra and Computation  31 (2021), no. 1, 19-35
Sergey Dzhunusov and Yulia Zaitseva. Commutative algebraic monoid structures on affine surfaces . Forum Mathematicum  33 (2021), no. 1, 177-191
Abdullah Khan, Alexei Lisitsa, Viktor Lopatkin, and Alexei Vernitski. Circle graphs (chord interlacement graphs) of Gauss diagrams: Descriptions of realizable Gauss diagrams, algorithms, enumeration.  https://arxiv.org/abs/2108.02873, 25 pages
Viktor Lopatkin. Garside Theory: a Composition-Diamond Lemma Point of View.  https://arxiv.org/abs/2109.07595, 28 pages
Alexander Perepechko. Affine cones over cubic surfaces are flexible in codimension one . Forum Mathematicum  33 (2021), no. 2, 339-348
Anton Shafarevich. Additive actions on toric projective hypersurfaces . Results in Mathematics  76 (2021), no. 3, article 145

2020

Ivan Arzhantsev, Sergey Bragin, and Yulia Zaitseva. Commutative algebraic monoid structures on affine spaces . Communications in Contemporary Mathematics  22 (2020), no. 8, 1950064: 1-23
Viktoria Borovik and Sergey Gaifullin. m-suspensions over rigid varieties.  https://arxiv.org/abs/2007.07882, 8 pages
Sergey Gaifullin. On rigidity of trinomial hypersurfaces and factorial trinomial varieties.  https://arxiv.org/abs/1902.06136, 20 pages

2019

Д. А. Матвеев. Коммутирующие однородные локально нильпотентные дифференцирования .  Математический сборник, 210:11 (2019), 103-128
Ю. И. Зайцева. Однородные локально нильпотентные дифференцирования нефакториальных триномиальных алгебр .  Математические заметки, 105:6 (2019), 824-838
А. А. Шафаревич. Геометрическое описание орбит группы автоморфизмов аффинного торического многообразия .  Вестник Московского университета. Серия 1. Математика, механика, 2019, 5, 55-58
Ivan Arzhantsev, Karine Kuyumzhiyan, Mikhail Zaidenberg. Infinite transitivity, finite generation, and Demazure roots . Advances in Mathematics  351 (2019), 1-32
Sergey Gaifullin and Anton Shafarevich. Flexibility of normal affine horospherical varieties . Proceedings of the American Mathematical Society  147 (2019), 3317-3330
Sergey Gaifullin and Yulia Zaitseva. On homogeneous locally nilpotent derivations of trinomial algebras . Journal of Algebra and Its Applications  18 (2019), no. 10, 1950196: 1-19

2018

Н.В. Богачев, А.Ю. Перепечко. Алгоритм Винберга для гиперболических решёток .  Математические заметки, 103:5 (2018), 769-773
Ivan Arzhantsev. Polynomial curves on trinomial hypersurfaces .  Acta Arithmetica 186 (2018), no. 1, 87-99
Ivan Arzhantsev.  Infinite transitivity and special automorphisms . Arkiv för Matematik  56 (2018), no. 1, 1-14
Ivan Arzhantsev. Gale duality and homogeneous toric varieties . Communications in Algebra  46 (2018), no. 8, 3539-3552
Ivan Arzhantsev, Lukas Braun, Jürgen Hausen and Milena Wrobel. Log terminal singularities, platonic tuples and iteration of Cox rings . European Journal of Mathematics  4 (2018), no. 1, 242-312
Alisa Chistopolskaya. On nilpotent generators of the special linear Lie algebra . Linear Algebra and its Applications  (2018), no. 559, 73-79
Mateusz Michałek, Alexander Perepechko, and Hendrik Süß. Flexible affine cones and flexible coverings . Mathematische Zeitschrif t 290 (2018), no. 3-4, 1457-1478

2017

А. А . Шафаревич. Гибкость S-многообразий полупростых групп .  Математический сборник, 208:2 (2017), 121-148
Ivan Arzhantsev and Sergey Gaifullin.  The automorphism group of a rigid affine variety . Mathematische Nachrichten  290 (2017), no. 5-6, 662-671
Ivan Arzhantsev and Elena Romaskevich. Additive actions on toric varieties . Proceedings of the American Mathematical Society  145 (2017), no. 5, 1865-1879
Sergei Kovalenko, Alexander Perepechko, and Mikhail Zaidenberg. On automorphism groups of affine surfaces . In: Advanced Studies in Pure Mathematics  75: Algebraic Varieties and Automorphism Groups. Mathematical Society of Japan, 2017, 207-286

2016

Ivan Arzhantsev. On rigidity of factorial trinomial hypersurfaces . International Journal of Algebra and Computation  26 (2016), no. 5, 1061-1070

2015

Ivan Arzhantsev, Ulrich Derenthal, Jürgen Hausen, and Antonio Laface. Cox rings . Cambridge Studies in Advanced Mathematics , no. 144, Cambridge University Press, 2015, 530 pages
Ivan Arzhantsev and Polina Kotenkova. Equivariant embeddings of commutative linear algebraic groups of corank one . Documenta Mathematica  20 (2015), 1039-1053

2014

Ivan Arzhantsev and Andrey Popovskiy. Additive actions on projective hypersurfaces . In: Automorphisms in Birational and Affine Geometry, Levico Terme, Italy, October 2012, Springer Proceedings in Mathematics & Statistics  79, Springer, 2014, 17-33
Ivan Arzhantsev, Alexander Perepechko, and Hendrik Süß. Infinite transitivity on universal torsors . Journal of the London Mathematical Society  89 (2014), no. 3, 762-778
Ivan Arzhantsev, Jürgen Hausen, Elaine Herppich, and Alvaro Liendo. The automorphism group of a variety with torus action of complexity one . Moscow Mathematical Journal  14 (2014), no. 3, 429-471
Kevin Langlois and Alexander Perepechko. Demazure roots and spherical varieties: the example of horizontal SL(2)-actions.  https://arxiv.org/abs/1406.5744, 41 pages
Alexander Perepechko.  On solvability of the automorphism group of a finite-dimensional algebra . Journal of Algebra  403 (2014), 445-458

2013

А. Ю. Перепечко. Гибкость аффинных конусов над поверхностями дель Пеццо степени 4 и 5 .  Функциональный анализ и его приложения, 47:4 (2013), 45-52
Ivan Arzhantsev and Mikhail Zaidenberg. Acyclic curves and group actions on affine toric surfaces . In: Affine Algebraic Geometry , Proceedings of the Conference, Osaka, Japan, 3-6 March 2011, World Scientific, 2013, 1-41
Ivan Arzhantsev, Devrim Celik, and Jürgen Hausen. Factorial algebraic group actions and categorical quotients . Journal of Algebra  387 (2013), 87-98
Ivan Arzhantsev, Hubert Flenner, Shulim Kaliman, Frank Kutzschebauch, and Mikhail Zaidenberg. Flexible varieties and automorphism groups . Duke Mathematical Journal  162 (2013), no. 4, 767-823
Ivan Arzhantsev, Hubert Flenner, Shulim Kaliman, Frank Kutzschebauch, and Mikhail Zaidenberg. Infinite transitivity on affine varieties . In: Birational geometry, rational curves, and arithmetic , Birkhäuser, 2013, 1-13
Ivan Arzhantsev and Ivan Bazhov. On orbits of the automorphism group on an affine toric variety . Central European Journal of Mathematics  11 (2013), no. 10, 1713-1724