IA
I. Arzhantsev
math.AGmath.ACmath.RAmath.GRmath.RTmath.CVmath.CO
On Valency
published · living versionsW_va2uc4x4·v1 · currentpublished
Flexible varieties and automorphism groups
with H. Flenner, S. Kaliman, F. Kutzschebauch, M. Zaidenberg
1 version
Preprints & journals
59 papers in the corpus · 2000–2026Elements of finite order in the normalizer of a maximal torus of a semisimple group2604.08108v1 · Ivan Arzhantsev, Alexey Galt, Alexey Staroletov2026 · 0 citationsarXiv
On flexibility of affine factorial varieties2508.04831v2 · Ivan Arzhantsev, Kirill Shakhmatov2025 · 0 citationsarXiv
Borel subgroups of the automorphism groups of affine toric surfaces2507.09679v1 · Ivan Arzhantsev, Mikhail Zaidenberg2025 · 0 citationsarXiv
Algebraic groups generated by semisimple elements2412.10936v2 · Ivan Arzhantsev2024 · 0 citationsarXiv
Algebraic monoid structures on the affine 3-space2412.09559v3 · Ivan Arzhantsev, Roman Avdeev, Yulia Zaitseva2024 · 0 citationsarXiv
On finite-dimensional homogeneous Lie algebras of derivations of polynomial rings2408.05627v2 · Ivan Arzhantsev, Sergey Gaifullin, Viktor Lopatkin2024 · 0 citationsIzvestiya: Math. 89 (2025), no, 3, 425-441
Affine cones as images of affine spaces2407.18580v2 · Ivan Arzhantsev2024 · 0 citationsProceedings of the Steklov Institute of Mathematics 329 (2025), 26-32
On Normality of Projective Hypersurfaces with an Additive Action2404.18484v1 · Ivan Arzhantsev, Ivan Beldiev, Yulia Zaitseva2024 · 1 citationJournal of Algebraic Combinatorics 62 (2025), no. 3, article 42
Uniqueness of addition in Lie algebras revisited2401.06241v2 · Ivan Arzhantsev2024 · 0 citationsMathematical Communications 30 (2025), no.2, 179-189
Affine homogeneous varieties and suspensions2309.06170v3 · Ivan Arzhantsev, Yulia Zaitseva2023 · 3 citationsResearch in the Mathematical Sciences 11 (2024), no. 2, article 27
On conjugacy of additive actions in the affine Cremona group2308.12096v1 · Ivan Arzhantsev2023 · 0 citationsQuaestiones Math. 47 (2024), no. 9, 1767-1774
Varieties covered by affine spaces, uniformly rational varieties and their cones2304.08608v5 · I. Arzhantsev, S. Kaliman, M. Zaidenberg2023 · 10 citationsAdv. Math. 437 (2024), article 109449
Normally located polyhedra2301.02688v1 · Ivan Arzhantsev2023 · 0 citationsarXiv
Automorphisms of algebraic varieties and infinite transitivity2212.13616v2 · Ivan Arzhantsev2022 · 4 citationsSt. Petersburg Math. J. 34 (2023), no.2, 143-178
On images of affine spaces2209.08607v2 · Ivan Arzhantsev2022 · 7 citationsIndag. Math. (N.S.) 34 (2023), no .4, 812-819
Radiant toric varieties and unipotent group actions2209.04021v2 · Ivan Arzhantsev, Alexander Perepechko, Kirill Shakhmatov2022 · 2 citationsBulletin des Sciences Math\'ematiques 192 (2024), 103419
Homogeneous algebraic varieties and transitivity degree2204.08056v1 · Ivan Arzhantsev, Kirill Shakhmatov, Yulia Zaitseva2022 · 3 citationsProceedings of the Steklov Institute of Mathematics 318 (2022), 13-25
Tits-type alternative for certain groups acting on algebraic surfaces2111.06659v3 · Ivan Arzhantsev, Mikhail Zaidenberg2021 · 1 citationProc. Amer. Math. Soc. 151 (2023), no. 7, 2813-2829
Limit points and additive group actions2102.11330v2 · Ivan Arzhantsev2021 · 2 citationsRicerche di Matematica 73 (2024), no,2, 715-724
Root subgroups on affine spherical varieties2012.02088v3 · Ivan Arzhantsev, Roman Avdeev2020 · 3 citationsSelecta Mathematica. New Series, vol. 28 (2022), no. 3, Article 60
Some finiteness results on triangular automorphisms2011.01202v2 · Ivan Arzhantsev, Kirill Shakhmatov2020 · 3 citationsResults Math. 77 (2022), no. 2, article 75
Equivariant completions of affine spaces2008.09828v4 · Ivan Arzhantsev, Yulia Zaitseva2020 · 7 citationsRussian Math. Surveys 77 (2022), no.4, 571-650
Tits type alternative for groups acting on toric affine varieties2003.00037v3 · I. Arzhantsev, M. Zaidenberg2020 · 10 citationsInternational Mathematics Research Notices (IMRN) 2022 (2022), no. 11, 8162-8195
Lie algebras of vertical derivations on semiaffine varieties with torus actions1902.01523v2 · Ivan Arzhantsev, Alvaro Liendo, Taras Stasyuk2019 · 7 citationsJ. Pure Appl. Algebra 225 (2021), no. 2, 106499 (18 pages)
Infinite transitivity, finite generation, and Demazure roots1803.10620v3 · I Arzhantsev, K Kuyumzhiyan, M Zaidenberg (IF)2018 · 14 citationsAdv. Math. 351 (2019), 1-32
Prehomogeneous modules of commutative linear algebraic groups1708.06390v2 · Ivan Arzhantsev2017 · 0 citationsarXiv
Polynomial curves on trinomial hypersurfaces1706.05502v1 · Ivan Arzhantsev2017 · 5 citationsActa Arithmetica 186 (2018), no.1, 87-99
Log terminal singularities, platonic tuples and iteration of Cox rings1703.03627v2 · Ivan Arzhantsev, Lukas Braun, Juergen Hausen et al.2017 · 29 citationsEur. J. Math. 4 (2018), no. 1, 242-312
Gale duality and homogeneous toric varieties1701.01985v1 · Ivan Arzhantsev2017 · 4 citationsCommunications in Algebra 46 (2018), no. 8, 3539-3552
Infinite transitivity and special automorphisms1610.09115v2 · Ivan Arzhantsev2016 · 8 citationsArkiv for Matematik 56 (2018), no.1, 1-14
On rigidity of factorial trinomial hypersurfaces1601.02251v3 · Ivan Arzhantsev2016 · 17 citationsInt. J. Algebra Comput. 26 (2016), no. 5, 1061-1070
Additive actions on toric varieties1510.07154v1 · Ivan Arzhantsev, Elena Romaskevich2015 · 24 citationsProc. Amer. Math. Soc. 145 (2017), no. 5, 1865-1879
Equivariant embeddings of commutative linear algebraic groups of corank one1501.03270v1 · Ivan Arzhantsev, Polina Kotenkova2015 · 9 citationsDocumenta Mathematica 20 (2015), 1039-1053
Additive actions on projective hypersurfaces1307.7341v2 · Ivan Arzhantsev, Andrey Popovskiy2013 · 18 citationsAutomorphisms in Birational and Affine Geometry, Springer Proc.in Math. & Statistics 79, 2014, 17-33
Infinite transitivity on universal torsors1302.2309v2 · Ivan Arzhantsev, Alexander Perepechko, Hendrik Suß2013 · 27 citationsJ. London Math. Soc. 89 (2014), no.3, 762-778
Infinite transitivity on affine varieties1210.6937v1 · I. Arzhantsev, H. Flenner, S. Kaliman et al.2012 · 12 citationsIn: Birational geometry, rational curves, and arithmetic, Springer, 2013, 1-13
On orbits of the automorphism group on an affine toric variety1203.2902v1 · Ivan Arzhantsev, Ivan Bazhov2012 · 9 citationsCent. Eur. J. Math. 11 (2013), no. 10, 1713-1724
The automorphism group of a variety with torus action of complexity one1202.4568v3 · Ivan Arzhantsev, Juergen Hausen, Elaine Herppich et al.2012 · 28 citationsMoscow Math. J. 14, 429-471 (2014)
Acyclic curves and group actions on affine toric surfaces1110.3028v2 · I. Arzhantsev, M. Zaidenberg2011 · 17 citationsIn: Affine Algebraic Geometry, World Scientific Publ., 2013, 1-41
Polyhedral divisors and SL_2-actions on affine T-varieties1105.4494v2 · Ivan Arzhantsev, Alvaro Liendo2011 · 20 citationsMichigan Math. J. 61 (2012), no. 4, 731-762
Torsors over Luna strata1104.5581v2 · Ivan V. Arzhantsev2011 · 0 citationsIn: Torsors, etale homotopy and applications to rational points, LMS Lecture Note Ser. 405, Cambridge University Press, 2013, 123-137
Flexible varieties and automorphism groups1011.5375v2 · I. Arzhantsev, H. Flenner, S. Kaliman et al.2010 · 153 citationsDuke Math. J. 162, no. 4 (2013), 767-823on Valency
Finite-dimensional subalgebras in polynomial Lie algebras of rank one1005.1415v1 · I.V. Arzhantsev, E.A. Makedonskii, A.P. Petravchuk2010 · 9 citationsUkrainian Math. Journal 63 (2011), no. 5, 827 - 832
Cox Rings1003.4229v2 · Ivan Arzhantsev, Ulrich Derenthal, Juergen Hausen et al.2010 · 0 citationsCambridge Studies in Advanced Mathematics 144, (2014), 530 pp
Flag varieties, toric varieties, and suspensions: three instances of infinite transitivity1003.3164v2 · I. V. Arzhantsev, K. Kuyumzhiyan, M. Zaidenberg2010 · 74 citationsMat. Sb. 203:7 (2012), 3--30; translation: Sbornik Math. 203 (2012), no. 7, 923--949
Flag varieties as equivariant compactifications of G_a^n1003.2358v2 · Ivan V. Arzhantsev2010 · 4 citationsProc. Amer. Math. Soc. 139 (2011), no. 3, 783-786
Hassett-Tschinkel correspondence: Modality and projective hypersurfaces0912.1474v3 · Ivan V. Arzhantsev, Elena V. Sharoyko2009 · 34 citationsJournal of Algebra 348 (2011), no. 1, 217-232
Homogeneous toric varieties0908.1851v2 · Ivan V. Arzhantsev, Sergey A. Gaifullin2009 · 7 citationsJ. Lie Theory 20 (2010), no. 2, 283-293.
Factorial algebraic group actions and categorical quotients0908.0443v3 · I.V. Arzhantsev, D. Celik, J. Hausen2009 · 8 citationsJ. Algebra, 387, 87-98, 2013
Cox rings, semigroups and automorphisms of affine algebraic varieties0810.1148v1 · Ivan V. Arzhantsev, Sergey A. Gaifullin2008 · 26 citationsMat. Sb. 201:1 (2010), 3--24; translation in Sbornik Math. 201 (2010), no. 1, 1--21
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