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Zinovy Reichstein's Publications and Preprints

  1. Z. Reichstein, A. Vistoli , On the dimention of the locus of determinantal hypersurfaces, posted February 2016.
  2. Matthew Brassil, Zinovy Reichstein, The Hermite-Joubert problem over p-fields, to appear in Clifford Lectures on Algebraic Groups: Structure and Actions, Contemporary Mathematics series of the AMS, edited by: Michel Brion and Mahir Bilen Can.
  3. Shane Cernele, Zinovy Reichstein, Essential dimension and linear codes, with an appendix by Athena Nguyen. Pacific Journal of Mathematics 279-1 (2015), 155--179.
  4. Jason Bell, Dragos Ghioca, Zinovy Reichstein, On a dynamical version of a theorem of Rosenlicht, to appear in Annali della Scuola Normale Superiore di Pisa.

  5. Nikita Karpenko, Zinovy Reichstein, A numerical invariant for linear representations of finite groups, with an appedix by Julia Pevtsova and Zinovy Reichstein. Commentarii Math. Helveciti, Volume 90, no. 3, 2015, pp. 667--701.
  6. Z. Reichstein, Joubert's theorem fails in characteristic 2, C. R. Math. Acad. Sci. Paris 352 (2014), no. 10, 773--777.
  7. M. Borovoi, N. Lemire, B. Kunyavskii, Z. Reichstein, Stably Cayley groups in characteristic zero, Int. Math. Res. Notices, No. 19, 5340-5397 (2014).
  8. D. Anderson, M. Florence, and Z. Reichstein, The Lie algebra of type G_2 is rational over its quotient by the adjoint action, C. R. Math. Acad. Sci. Paris 351 (2013), no. 23-24, 871--875.
  9. A. Duncan, Z. Reichstein, Pseudo-reflection groups and essential dimension, Lond. Math. Soc., II. Ser. 90, No. 3, 879-902 (2014).
  10. Z. Reichstein, Introduction to the theory of essential dimension. Lecture notes for the mini-course given at the Spring School on Torsors, Motives and Cohomological Invariants at the Fields Institute, May 2013.
  11. R. L\"otscher , A. Meyer , M. MacDonald , Z. Reichstein, Essential p-dimension of algebraic groups whose connected component is a torus , Algebra Number Theory 7 (2013), no. 8, 18171840.

  12. A. Duncan, Z. Reichstein, Versality of algebraic group actions and rational points on twisted varieties. J. Algebraic Geom. 24 (2015), 499--530.

  13. R. L\"otscher , A. Meyer , M. MacDonald , Z. Reichstein, Essential dimension of algebraic tori, J. Reine Angew. Math. (Crelle's Journal), 677 (2013), pp. 1--13.

  14. Z. Reichstein, A. Vistoli , A genericity theorem for algebraic stacks and essential dimension of hypersurfaces , Journal of the European Math. Society (JEMS), 15 (2013), no. 6, 19992026.
  15. Z. Reichstein, What is ... essential dimension? Notices of the AMS, Vol. 59, no. 10 (2012), 1432-1434.
  16. J.-L. Colliot-Thelene, B. Kunyavskii, , 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? , Compositio Mathematica, Volume 147 (2011), no. 2, 428 - 466.

  17. M. Borovoi, Z. Reichstein, Toric-friendly groups, Algebra and Number Theory, Vol. 5 (2011), no. 3, 361--378.

  18. S. Cernele, M. Kamgarpour, Z. Reichstein, Maximal representation dimension for groups of order p^n, Journal of Group Theory, vol. 14 (2011), no. 4, pp. 637-647.

  19. A. Meyer, Z. Reichstein, An upper bound on the essential dimension of a central simple algebra, Journal of Algebra, Volume 329, Issue 1 (Special Issue Celebrating the 60th Birthday of Corrado De Concini), March 2011, 213-221.

  20. P Brosnan, Z. Reichstein, A. Vistoli , Essential dimension of moduli of curves and other algebraic stacks, , with an appendix by Najmuddin Fakhruddin, Journal of the European Math. Society (JEMS) 13 (2011), no. 4, 1079-1112.

  21. Z. Reichstein, Essential dimension, Proceedings of the International Congress of Mathematicians. Volume II, 162--188, Hindustan Book Agency, New Delhi, 2010.

  22. A. Adem, Z. Reichstein Bundles, cohomology and truncated symmetric polynomials, Documenta Math. 15 (2010), 1029--1047.

  23. A. Meyer, Z. Reichstein, Some consequences of the Karpenko-Merkurjev theorem, Documenta Math. Extra Volume: Andrei A. Suslin's Sixtieth Birthday (2010), 445--457 Posted November, 2008.

  24. A. Meyer, Z. Reichstein, The essential dimension of the normalizer of a maximal torus in the projective linear group, Algebra and Number Theory. Vol. 3 (2009), No. 4, 467--487.

  25. P Brosnan, Z. Reichstein, A. Vistoli , Essential dimension, spinor groups and quadratic forms , Annals of Math., Vol. 171 (2010), No. 1, 533--544.

  26. A. Duncan, Z. Reichstein, SAGBI bases in rings of invariant Laurent polynomials, Proceedings of the American Mathematical Society 137 (2009), no. 3, 835--844. Posted February 2008.

  27. V. Chernousov, Ph. Gille, Z. Reichstein, Reduction of structure for torsors over semilocal rings, Manuscripta. Math 126 (2008), 465-480.
  28. Ph. Gille, Z. Reichstein, A lower bound on the essential dimension of a connected linear group, Comment. Math. Helv. 84, No. 1, 189-212 (2009). Posted March 2007.
  29. Z. Reichstein, N. Vonessen, Tame group actions on central simple algebras, J. Algebra, 318 (2007), no. 2, 1039-1056.
  30. P Brosnan, Z. Reichstein, A. Vistoli , Essential dimension and algebraic stacks , Posted February 2007.
  31. J. Kuttler, Z. Reichstein, Is the Luna startification intrinsic? in Annales de l'Institut Fourier (Grenoble) 58 (2008), no. 2, 689--721. Posted October 2006.
  32. N. Lemire , V. L. Popov, Z. Reichstein, On the Cayley degree of an algebraic group , Biblioteca de la Revista Matema'tica Iberoamericana, Actas del XVI Coloquio Latinoamericana de A'lgebra, Madrid, 2007, pp. 87--97. Posted August 2006.
  33. Z. Reichstein, A note on retracts and lattices (after D. J. Saltman). Posted March 2006.
  34. Z. Reichstein, Higher trace forms and essential dimension in central simple algebras, Archiv der Mathematik, 88, no. 1 (2007), 12--18. Posted March 2006.
  35. Z. Reichstein, N. Vonessen , Group actions and invariants in algebras of generic matrices, Advances in Applied Mathematics 37, issue 4, October 2006, 481--500.
  36. A. Vistoli , Z. Reichstein, Birational isomorphisms between twisted group actions , Journal of Lie Theory 16 (2006), Number 4, 791--802.
  37. N. Lemire , V. L. Popov, , Z. Reichstein, Cayley groups , J. Amer. Math. Soc. 19 (2006), 921-967.
  38. Z. Reichstein, N. Vonessen , Group actions on central simple algebras: a geometric approach, J. Algebra 304 (2006), 1160--1192.
  39. Z. Reichstein, N. Vonessen , Polynomial identity rings as rings of functions. Journal of Algebra, 310, Issue 2 (2007), 624--647.
  40. G. Berhuy, Z. Reichstein, On the notion of canonical dimension for algebraic groups, Advances in Mathematics, 198 (2005), 128--171.
  41. V. Chernousov, Ph. Gille, Z. Reichstein, Resolving G-torsors by abelian base extensions, Journal of Algebra 296 (2006), 561--581.
  42. Z. Reichstein, D. Rogalski, J. J. Zhang, Projectively simple rings, Advances in Mathematics, 203 (2006), no. 2, 365--407.
  43. C. DeConcini , Z. Reichstein, Nesting maps of Grassmannians , Rendiconti di Matematica Accademia dei Lincei, s. 9, v. 15 (2004), 109--118.
  44. C. U. Jensen, A. Ledet, N. Yui, Generic Polynomials, constructive aspects of Galois theory, MSRI Publications, Cambridge University Press, 2002. Book review by Z. Reichstein , Canadian Math. Society Notes, vol. 35, no. 8 (2003), 12--13.
  45. Z. Reichstein, N. Vonessen , Stable affine models for algebraic group actions , Journal of Lie Theory, 14, no. 2 (2004), 563--568.
  46. J. Minac , Z. Reichstein, Trace forms of Galois extensions in the presence of a 4th root of unity , International Math. Research Notices, 8 (2004) 389-410.
  47. J. Buhler , Z. Reichstein, Symmetric functions and the phase problem in crystallography , Transactions of the American Math. Society, 357 (2005), 2353-2377.
  48. Z. Reichstein, Compressions of group actions , 199--202, CRM Proc. Lecture Notes, 35, Amer. Math. Soc., Providence, RI, 2004
  49. Z. Reichstein, B. Youssin, A non-split torsor with trivial fixed point obstruction, Journal of Algebra, 263 (2003), 255--261.
  50. Z. Reichstein, SAGBI bases in rings of multiplicative invariants, Commentarii Math Helvitici 78 (2003), 185 -- 202.
  51. M. Lorenz , Z. Reichstein, L.H. Rowen , D. J. Saltman, Fields of definition for division algebras , Journal of the London Mathematical Society, 68, Issue 03 (2003), 651-670.
  52. D.-S. Kang, Z. Reichstein, Trace forms of Galois field extensions in the presence of roots of unity , J. Reine Angew. Math. (Crelle's Journal), 549 (2002), 79--89.
  53. Z. Reichstein, B. Youssin, A birational invariant for algebraic group actions , Pacific Jounal of Mathematics, 204, no. 1 (2002), 223--246.
  54. Z. Reichstein, B. Youssin, Equivariant resolution of points of indeterminacy , Proceedings AMS, volume 130, no. 8, pp. 2183--2187.
  55. Z. Reichstein, B. Youssin, Conditions satisfied by characteristic polynomials in fields and division algebras , Journal of Pure and Applied Algebra, 166 (2002), 165-184.
  56. M. Lorenz , Z. Reichstein, Lattices and parameter reduction in division algebras , MSRI preprint, January 2000.
  57. Z. Reichstein, An inductive proof of Newton's identities (in Russian) , Matematicheskoe Prosveschenie [Mathematics Education], 3, (4) (2000), 204-205.
  58. Z. Reichstein, B. Youssin, On a property of special groups , Transformation Groups, 6, no. 3 (2001), 261-266.
  59. Z. Reichstein, B. Youssin, Parusinski's ``Key Lemma" via algebraic geometry , Electronic Research Announcements of the AMS, vol. 5 (1999) , 136-145.
  60. Z. Reichstein, B. Youssin, Splitting fields of G-varieties , Pacific Journal of Mathematics, 200 (2001), 207-249.
  61. Z. Reichstein, B. Youssin, Essential Dimensions of Algebraic Groups and a Resolution Theorem for G-varieties , with an appendix by J. Kollar and E. Szabo, Canadian Journal of Mathematics, 52, no. 5 (2000), 1018-1056.
  62. Z. Reichstein, On the Notion of Essential Dimension for Algebraic Groups , Transformation Groups, 5, no. 3 (2000), 265-304.
  63. Z. Reichstein, On a Theorem of Hermite and Joubert , Canadian Journal of Mathematics, 51(1), 1999, 69-95.
  64. J. Buhler , Z. Reichstein, On Tschirnhaus transformations, in Topics in Number Theory, edited by S. D. Ahlgren et. al., Kluwer Academic Publishers, pp. 127-142, 1999.
  65. L. LeBruyn , Z. Reichstein, Smoothness in algebraic geography, Proceedings of the London Math. Society, (3) 79, 158-191, July 1999.
  66. Z. Reichstein, Generators of central simple algebras, Journal of Algebra, 207 (1998), 511-524.
  67. J. Buhler , Z. Reichstein, On the essential dimension of a finite Group, Compositio Math. 106 (1997), 159-179.
  68. Z. Reichstein, N. Vonessen , Rational central simple algebras, Israel J. of Math. 95 (1996), 253-280.
  69. Z. Reichstein, On a question of Makar-Limanov, Proc. AMS, 124, no. 1 (1996), 17-19.
  70. Z. Reichstein, N. Vonessen , An Embedding property of universal division algebras , J. Algebra, 177(1995), 451-462.
  71. Z. Reichstein, N. Vonessen , Free subgroups of division algebras, Comm. in Algebra, 23(6)(1995), 2181-2185.
  72. Z. Reichstein, N. Vonessen , Torus actions on rings, J. Algebra, 170(3)(1994), 781-804.
  73. Z. Reichstein, On the Noether problem and universal division algebras, Teoria dos Aneis, Proceedings of the Ring Theory Conference at the University of Sao Paulo, H. Merklen, Ed., IME.USP Publication (1993), 41-50.
  74. Z. Reichstein, On automorphisms of matrix invariants induced from the trace ring, Linear Algebra Appl., 193 (1993), 51-74.
  75. B. Reichstein, Z. Reichstein, On Waring presentations of smooth plane cubics, Michigan Math. Journal, 40(1) (1993), 95-118.
  76. Z. Reichstein, On automorphisms of matrix invariants, Transactions AMS, 340(1) (1993), 353-371.
  77. Z. Reichstein, On Waring presentations of cuspidal cubics , Comm. in Algebra, 20 (11)(1992), 3347-3351.
  78. Z. Reichstein, A Functorial interpretation of the ring of matrix invariants, Journal of Algebra, 126(3) (1991), 439-462.
  79. Z. Reichstein, Stability and equivariant maps, Invent. Math. 96 (1989), 349-383.
  80. A. E. Brouwer, Z. Reichstein, E. C. Posner, Hadamard codes which have an even number of ones in each half, Utilitas Mathematica, 32 (1987), 131-140.
  81. Z. Reichstein, E. C. Posner, Configurations for file transfer protocol error protection, IEEE Transactions on Communications, Vol. Com-34, 3, March 1986