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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Algebraic independence in the Grothendieck ring of varieties
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by N. Naumann PDF
Trans. Amer. Math. Soc. 359 (2007), 1653-1683 Request permission

Abstract:

We give sufficient cohomological criteria for the classes of given varieties over a field $k$ to be algebraically independent in the Grothendieck ring of varieties over $k$ and construct some examples.
References
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Additional Information
  • N. Naumann
  • Affiliation: NWF I- Mathematik, Universität Regensburg, Universitätsstrasse 31, 93053 Regensburg, Germany
  • Received by editor(s): July 28, 2004
  • Received by editor(s) in revised form: January 20, 2005
  • Published electronically: September 19, 2006
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 1653-1683
  • MSC (2000): Primary 14A10
  • DOI: https://doi.org/10.1090/S0002-9947-06-03975-4
  • MathSciNet review: 2272145