Projective push-forwards in the Witt theory of algebraic varieties

DOI10.1016/J.AIM.2008.11.013zbMath1223.19004OpenAlexW2076373437MaRDI QIDQ1011411

Alexander Nenashev

Publication date: 8 April 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2008.11.013

zbMATH Keywords

projective morphismThom isomorphismpush-forwarddeformation to the normal bundleGysin operatorWitt theory of algebraic varieties

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Witt groups of rings (19G12) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (2)

On the push-forwards for motivic cohomology theories with invertible stable Hopf element ⋮ Injectivity theorem for homotopy invariant presheafs with Witt-transfers

Cites Work

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• The general dévissage theorem for Witt groups of schemes
• Homotopy invariance of coherent Witt groups
• Triangular Witt groups. I: The 12-term localization exact sequence
• Oriented cohomology theories of algebraic varieties
• Pairings in triangular Witt theory
• Gysin maps in Balmer-Witt theory
• Cobordisme algébrique I
• A transfer morphism for Witt groups
• Orientations and transfers in cohomology of algebraic varieties
• Triangular Witt groups. II: From usual to derived
• Witt cohomology, Mayer-Vietoris, homotopy invariance and the Gersten conjecture

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