Residues and duality for singularity categories of isolated Gorenstein singularities

Preprint English OPEN
Murfet, Daniel;
(2009)
  • Related identifiers: doi: 10.1112/S0010437X13007082
  • Subject: Mathematics - Commutative Algebra | Mathematics - Algebraic Geometry
    arxiv: Mathematics::Commutative Algebra | Mathematics::Category Theory

We study Serre duality in the singularity category of an isolated Gorenstein singularity and find an explicit formula for the duality pairing in terms of generalised fractions and residues. For hypersurfaces we recover the residue formula of the string theorists Kapusti... View more
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