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- W2950955150 abstract "We introduce the notion of Mukai regularity (M-regularity) for coherent sheaves on abelian varieties. The definition is based on the Fourier-Mukai transform, and in a special case depending on the choice of a polarization it parallels and strenghtens the usual Castelnuovo-Mumford regularity. Mukai regularity has a large number of applications, ranging from basic properties of linear series on abelian varieties and defining equations for their subvarieties, to higher dimensional type statements and to a study of special classes of vector bundles. Some of these applications are explained here, while others make the subject of upcoming papers." @default.
- W2950955150 created "2019-06-27" @default.
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- W2950955150 date "2001-09-30" @default.
- W2950955150 modified "2023-10-14" @default.
- W2950955150 title "Regularity on abelian varieties I" @default.
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