Alexander Nenashev: Projective push-forwards in the Witt theory of algebraic varieties

Submission: 2007, May 31

We define push-forwards along projective morphisms in the Witt theory of smooth quasi-projective varieties over a field. We prove that they have standard properties such as functoriality, compatibility with pull-backs and projection formulas.

2000 Mathematics Subject Classification:

Keywords and Phrases: Witt theory of algebraic varieties, projective morphism, push-forward, Gysin operator, Thom isomorphism, deformation to the normal bundle

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