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Publications of Ivan Arzhantsev
Refereed Articles
1. Polyhedral divisors and SL2 -actions on ane T -varieties. With A. Liendo. Michigan Mathematical Journal, to appear. See also Prepublication de l'Institut Fourier, hal-00595725; arXiv:1105.4494v1, 26 pp. 2. Hassett-Tschinkel correspondence: Modality and projective hypersurfaces. With E.V. Sharoyko. Journal of Algebra, to appear. See also arXiv:0912.1474v2, 12 pp. 3. Torsors over Luna strata. In Torsors, etale homotopy and applications to rational points. Proceedings of the ICMS workshop in Edinburgh, 10-14 January 2011, London Mathematical Society Lecture Note Series, V. Batyrev and A. Skorobogatov, Editors, to appear. See also arXiv:1104.5581v1, 11 pp. 4. Flag varieties as equivariant compactications of Gn . Proceedings of the a American Mathematical Society 139 (2011), no. 3, 783786. 5. Finite-dimensional subalgebras in polynomial Lie algebras of rank one. With E.A. Makedonskii and A.P. Petravchuk. Ukrainian Mathematical Journal 63 (2011), no. 5, 708712. 6. Homogeneous toric varieties. With S.A. Gaifullin. Journal of Lie Theory 20 (2010), no. 2, 283293. 7. Cox rings, semigroups and automorphisms of ane algebraic varieties. With S.A. Gaifullin. Sbornik: Math. 201 (2010), no. 1, 121. 8. Saturated subelds and invariants of nite groups. With A.P. Petravchuk. Mathematical Notes 86 (2009), no. 5, 625628. 9. Projective embeddings of homogeneous spaces with smal l boundary. Izvestiya Math. 73 (2009), no. 3, 437453. 10. On factoriality of Cox rings. Mathematical Notes 85 (2009), no. 5, 623629. 11. Geometric Invariant Theory via Cox rings. With J. Hausen. Journal of Pure and Applied Algebra 213 (2009), no. 1, 154172. 12. Invariant ideals and Matsushima's criterion. Communications in Algebra 36 (2008), no. 12, 43684374. 13. On the multiplication map of a multigraded algebra. With J. Hausen. Mathematical Research Letters 14 (2007), no. 1, 129136. 14. Ane embeddings of homogeneous spaces. In Surveys in Geometry and Number Theory, N. Young (Editor), London Mathematical Society Lecture Notes Series 338, Cambridge University Press, 2007, 151. 15. Closed polynomials and saturated subalgebras of polynomials algebras. With A.P. Petravchuk. Ukrainian Mathematical Journal 59 (2007), no. 12, 17831790. 16. On embeddings of homogeneous spaces with smal l boundary. With J. Hausen. Journal of Algebra 304 (2006), no. 2, 950988.


17. On anely closed homogeneous spaces. With N.A. Tennova. Journal of Mathematical Sciences (Springer) 131 (2005), no. 6, 61336139. 18. On the canonical embedding of certain homogeneous spaces. With D.A. Timashev. In Lie Groups and Invariant Theory: A.L. Onishchik's jubilee volume (E.B. Vinberg, Editor), AMS Translations, Series 2, vol. 213 (2005), 63-83. 19. Classication of ane homogeneous spaces of complexity one. With O.V. Chuvashova. Sbornik: Math. 195 (2004), no. 6, 765782. 20. Algebras with nitely generated invariant subalgebras. Annalles de l'Institut Fourier 53 (2003), no. 2, 379398. 21. On stability of diagonal actions. Mathenatical Notes 71 (2002), no. 5-6, 735738. 22. A classication of reductive linear groups with spherical orbits. Journal of Lie Theory 12 (2002), no. 1, 289299. 23. Invariant subalgebras and ane embeddings of homogeneous spaces. Research and Exposition in Mathematics 25 (2002), I. Ba jo, E. Sanmart (Eds.), Recent in Advances in Lie Theory, Heldermann Verlag Berlin, 121126. 24. Uniqueness of addition in semisimple Lie algebras. Russian Mathematical Surveys 56 (2001), no. 3, 569571. 25. On modality and complexity of ane embeddings. Sbornik: Math. 192 (2001), no. 8, 11331138. 26. Ane embeddings with a nite number of orbits. With D.A. Timashev. Transformation Groups 6 (2001), no. 2, 101110. 27. On stability of subgroup actions on certain quasihomogeneous G-varieties. Journal of Lie Theory 10 (2000), no. 2, 345357. 28. Contractions of ane spherical varieties. Sbornik: Math. 190 (1999), no. 7, 937954. 29. On normality of spherical orbit closures. Functional Analysis and its Applications 31 (1997), no. 4, 278280. 30. On SL2 -actions of complexity one. Izvestiya Math. 61 (1997), no. 4, 685698. 31. On actions of reductive groups with one-parameter family of spherical orbits. Sbornik: Math. 188 (1997), no. 5, 639655.

Conference Proceedings and other Publications
1. Student Olympiads at Faculty of Mechanics and Mathematics in Moscow State University. With V.I. Bogachev, A.A. Zaslavski, V.Yu. Protasov, A.M. Raigorodski, and A.B. Skopenkov. Math. Prosveschenie 14 (2010), 225234 (Russian). 2. Dirichlet's principle and its applications in Geometry. In: Mathematics in Problems. A.A. Zaslavski et al. (Eds), MCCME, Moscow (2009), 372378 (Russian). 3. Ernest Borisovich Vinberg. With S.M. Gusein-Zade, Yu.S. Ilyashenko, A.L. Onishchik, A.B. Sosinksky, D.A. Timashev, and M.A. Tsfasman. Moscow Mathematical Journal 8 (2008), no. 4, 617620.


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4. Some results on uniqueness of addition in Lie algebras. Proceedings of the First Colloquium on Lie Theory and Applications, I. Ba jo, E. Sanmart (Eds.), in Universidad de Vigo (2002), 1924. 5. Invariant dierential operators and representations with spherical orbits. Proceedings of Institute of Mathematics of NAS of Ukraine 43 (2002), no. 2, 419424. 6. Uniqueness of addition in Lie algebras, I. With A.V. Titov. Moscow University Mathematical Bulletin 56 (2001), no. 2, 3840. 7. Uniqueness of addition in Lie algebra sl2 (K ). Moscow University Mathematical Bulletin 55 (2000), no. 4, 2931. 8. Uniqueness of addition in Lie algebra sl(2). In Lie Algebras, Rings and Related Topics (Fong Yuen, A.A. Mikhalev, E. Zelmanov, Eds), Springer-Verlag Hong Kong Ltd. (2000), 14. 9. Algebraic curves and Hilbert's 14th problem. Moscow University Mathematical Bulletin 49 (2000), no. 4, 1519.

Books and Lecture Notes
1. Cox rings. With U. Derenthal, J. Hausen, and A. Laface. To to be published by Cambridge University Press in the Cambridge Studies in Advanced Mathematics. The rst chapter is available at arXiv:1003.4229, 56 pp. 2. A Col lection of Problems in Algebra. With V.A. Artamonov et all. Edited by A.I. Kostrikin. New Edition: Moscow, MCCME, 2009, 408 pages (Russian). 3. Graded algebras and 14th Hilbert problem. Lecture Course. Moscow, MCCME, 2009, 63 pages (Russian). 4. Gr obner bases and systems of algebraic equations. Lecture Course. 1th Edition: Moscow, Dialog-MGU, 1999, 36 pages; 2nd Edition: Moscow, Max-Press, 2002, 88 pages; 3rd Edition: Moscow, MCCME, 2003, 67 pages (Russian).

Preprints
1. Acyclic curves and group actions on ane toric surfaces. With M. Zaidenberg. Prepublication de l'Institut Fourier, hal-00632263; arXiv:1110.3028v1, 29 pp. 2. Flexible varieties and automorphism groups. With H. Flenner, S. Kaliman, F. Kutzschebauch, and M. Zaidenberg. Max-Planck-Institut fur Mathematik, Preprint Series 2010 (106); arXiv:1011.5375v1, 41 pp. 3. Flag varieties, toric varieties, and suspensions: three instances of innite transitivity. With K. Kuyumzhiyan and M. Zaidenberg. Prepublication de l'Institut Fourier, hal-00463347; arXiv:1003.3164v1, 25 pp. 4. Factorial algebraic group actions and categorical quotients. With D. Celik and J. Hausen. arXiv:0908.0443v2, 11 pp.