Algebraic independence in the Grothendieck ring of varieties

Details Algebraic independence in the Grothendieck ring of varieties Algebraic independence in the Grothendieck ring of varieties

2004-03-03

arxiv.org/abs/math/0403075v3

Mathematics

Algebraic Geometry

final version; to appear in the Transactions of the AMS

Scientific paper

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.

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