Publisher： Cambridge University Press
E-ISSN： 1570-5846|149|12|2071-2100
ISSN： 0010-437x
Source： Compositio Mathematica, Vol.149, Iss.12, 2013-12, pp. : 2071-2100
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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.
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