The universal Euler characteristic for varieties of characteristic zero
Abstract
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 2001
 arXiv:
 arXiv:math/0111062
 Bibcode:
 2001math.....11062B
 Keywords:

 Algebraic Geometry;
 14E05;
 14F42
 EPrint:
 19 pages