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Continuous CM-regularity of semihomogeneous vector bundles.
- Source :
- Advances in Geometry; Jul2020, Vol. 20 Issue 3, p401-412, 12p
- Publication Year :
- 2020
-
Abstract
- We ask when the CM (Castelnuovo–Mumford) regularity of a vector bundle on a projective variety X is numerical, and address the case when X is an abelian variety. We show that the continuous CM-regularity of a semihomogeneous vector bundle on an abelian variety X is a piecewise-constant function of Chern data, and we also use generic vanishing theory to obtain a sharp upper bound for the continuous CM-regularity of any vector bundle on X. From these results we conclude that the continuous CM-regularity of many semihomogeneous bundles — including many Verlinde bundles when X is a Jacobian — is both numerical and extremal. [ABSTRACT FROM AUTHOR]
- Subjects :
- ABELIAN varieties
DATA
Subjects
Details
- Language :
- English
- ISSN :
- 1615715X
- Volume :
- 20
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Advances in Geometry
- Publication Type :
- Academic Journal
- Accession number :
- 144501849
- Full Text :
- https://doi.org/10.1515/advgeom-2019-0011