Residues and duality for singularity categories of isolated Gorenstein singularities
Commutative Algebra
2019-02-20 v3 Algebraic Geometry
Abstract
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 Kapustin and Li. These results are obtained from an explicit construction of complete injective resolutions of maximal Cohen-Macaulay modules.
Keywords
Cite
@article{arxiv.0912.1629,
title = {Residues and duality for singularity categories of isolated Gorenstein singularities},
author = {Daniel Murfet},
journal= {arXiv preprint arXiv:0912.1629},
year = {2019}
}
Comments
28 pages, the exposition has been simplified and shortened