Residues and duality for singularity categories of isolated Gorenstein singularities-Reference-Cited by-同舟云学术

Residues and duality for singularity categories of isolated Gorenstein singularities

Published:2013-09-09 Issue:12 Volume:149 Page:2071-2100
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Murfet Daniel

Abstract

AbstractWe 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 Kapustin and Li. These results are obtained from an explicit construction of complete injective resolutions of maximal Cohen–Macaulay modules.

Publisher

Wiley

Subject

Algebra and Number Theory

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