The universal Euler characteristic for varieties of characteristic zero

Details The universal Euler characteristic for varieties of characteristic zero The universal Euler characteristic for varieties of characteristic zero

2001-11-06

arxiv.org/abs/math/0111062v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

Using the weak factorization theorem we give a simple presentation for the value group of the universal Euler characteristic with compact support for varieties of characteristic zero and describe the value group of the universal Euler characteristic of pairs. This gives a new proof for the existence of natural Euler characteristics with values in the Grothendieck group of Chow motives. A generalization of the presentation to the relative setting allows us to define duality and the six operations.

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