The universal Euler characteristic for varieties of characteristic zero
Copyright policy )The universal Euler characteristic for varieties of characteristic zero
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.
19 pages
- Utrecht University Netherlands
- University Museum Utrecht Netherlands
- University of Duisburg-Essen Germany
Applications of methods of algebraic \(K\)-theory in algebraic geometry, Grothendieck group, Chow motives, Mathematics - Algebraic Geometry, 14E05, 14F42, Landbouwwetenschappen, Wiskunde: algemeen, Motivic cohomology; motivic homotopy theory, Natuurwetenschappen, FOS: Mathematics, Wiskunde en Informatica (WIIN), Euler characteristic, Rational and birational maps, Algebraic Geometry (math.AG), Mathematics
Applications of methods of algebraic \(K\)-theory in algebraic geometry, Grothendieck group, Chow motives, Mathematics - Algebraic Geometry, 14E05, 14F42, Landbouwwetenschappen, Wiskunde: algemeen, Motivic cohomology; motivic homotopy theory, Natuurwetenschappen, FOS: Mathematics, Wiskunde en Informatica (WIIN), Euler characteristic, Rational and birational maps, Algebraic Geometry (math.AG), Mathematics
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