Some remarks on ample line bundles on abelian varieties.

Akira Ohbuchi

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On tensor products of ample line bundles on abelian varieties.

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Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles

Nathan Grieve (2021)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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We study the property of continuous Castelnuovo-Mumford regularity, for semihomogeneous vector bundles over a given Abelian variety, which was formulated in A. Küronya and Y. Mustopa [Adv. Geom. 20 (2020), no. 3, 401-412]. Our main result gives a novel description thereof. It is expressed in terms of certain normalized polynomial functions that are obtained via the Wedderburn decomposition of the Abelian variety’s endomorphism algebra. This result builds on earlier work of Mumford and...