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Proceedings of the American Mathematical Society

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ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Global coefficient ring in the Nilpotence Conjecture
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by Joseph Gubeladze PDF
Proc. Amer. Math. Soc. 136 (2008), 499-503 Request permission

Abstract:

In this note we show that the nilpotence conjecture for toric varieties is true over any regular coefficient ring containing $\mathbb {Q}$.
References
  • W. Bruns and J. Gubeladze, Polytopes, Rings, and $K$-theory, book in preparation. (Preliminary version: http://math.sfsu.edu/gubeladze/publications/kripo.html)
  • Joseph Gubeladze, The nilpotence conjecture in $K$-theory of toric varieties, Invent. Math. 160 (2005), no. 1, 173–216. MR 2129712, DOI 10.1007/s00222-004-0410-3
  • Wilberd van der Kallen, Descent for the $K$-theory of polynomial rings, Math. Z. 191 (1986), no. 3, 405–415. MR 824442, DOI 10.1007/BF01162716
  • Hartmut Lindel, On the Bass-Quillen conjecture concerning projective modules over polynomial rings, Invent. Math. 65 (1981/82), no. 2, 319–323. MR 641133, DOI 10.1007/BF01389017
  • Jan Stienstra, Operations in the higher $K$-theory of endomorphisms, Current trends in algebraic topology, Part 1 (London, Ont., 1981) CMS Conf. Proc., vol. 2, Amer. Math. Soc., Providence, R.I., 1982, pp. 59–115. MR 686113
  • Richard G. Swan, Néron-Popescu desingularization, Algebra and geometry (Taipei, 1995) Lect. Algebra Geom., vol. 2, Int. Press, Cambridge, MA, 1998, pp. 135–192. MR 1697953
  • Ton Vorst, Localization of the $K$-theory of polynomial extensions, Math. Ann. 244 (1979), no. 1, 33–53. With an appendix by Wilberd van der Kallen. MR 550060, DOI 10.1007/BF01420335
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Additional Information
  • Joseph Gubeladze
  • Affiliation: Department of Mathematics, San Francisco State University, San Francisco, California 94132
  • Email: soso@math.sfsu.edu
  • Received by editor(s): January 16, 2007
  • Received by editor(s) in revised form: February 5, 2007
  • Published electronically: November 1, 2007
  • Additional Notes: The author was supported by NSF grant DMS-0600929
  • Communicated by: Martin Lorenz
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 499-503
  • MSC (2000): Primary 19D50; Secondary 13B40, 13K05, 20M25
  • DOI: https://doi.org/10.1090/S0002-9939-07-09106-X
  • MathSciNet review: 2358489