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Algebraic independence in the Grothendieck ring of varieties

Algebraic Geometry 2007-05-23 v3

Abstract

We give sufficient cohomological criteria for the classes of given varieties over a field kk to be algebraically independent in the Grothendieck ring of varieties over kk and construct some examples.

Keywords

Cite

@article{arxiv.math/0403075,
  title  = {Algebraic independence in the Grothendieck ring of varieties},
  author = {N. Naumann},
  journal= {arXiv preprint arXiv:math/0403075},
  year   = {2007}
}

Comments

final version; to appear in the Transactions of the AMS