Algebraic independence in the Grothendieck ring of varieties
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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