The excess intersection formula for Grothendieck-Witt groups

DOI10.1007/s00229-009-0300-5zbMath1195.14009OpenAlexW1978817867MaRDI QIDQ1041159

Jean Fasel

Publication date: 30 November 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0300-5

zbMATH Keywords

Euler classdeformation to the normal coneGrothendieck-Witt groupsSelf-intersection formula

Mathematics Subject Classification ID

Witt groups of rings (19G12) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Grothendieck groups, (K)-theory and commutative rings (13D15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Hermitian (K)-theory, relations with (K)-theory of rings (19G38)

Related Items (7)

Fundamental classes in motivic homotopy theory ⋮ Quadratic types and the dynamic Euler number of lines on a quintic threefold ⋮ Witt groups of Spinor varieties ⋮ On quadratically enriched excess and residual intersections ⋮ Witt groups of curves and surfaces ⋮ The real cycle class map ⋮ The projective bundle theorem for I^j -cohomology

Cites Work

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• Hermitian \(K\)-theory, derived equivalences and Karoubi's fundamental theorem
• Push-forwards for Witt groups of schemes
• Chow-Witt groups and Grothendieck-Witt groups of regular schemes
• Chow groups with coefficients
• Homotopy invariance of coherent Witt groups
• Interprétation motivique de la formule d'excès d'intersection. (Motivic interpretation of the excess intersection formula).
• Pairings in triangular Witt theory
• Gysin maps in Balmer-Witt theory
• A zero theorem for the transfer of coherent Witt groups
• Das Adams-Riemann-Roch-Theorem in der höheren äquivarianten K-Theorie.
• Higher algebraic K-theory: I
• Koszul complexes and symmetric forms over the punctured affine space

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