On Seshadri constants of non-simple abelian varieties
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Publication:6326222
DOI10.1007/S00229-022-01379-XarXiv1909.13461MaRDI QIDQ6326222
Publication date: 30 September 2019
Abstract: We prove that the Seshadri constant of a polarized abelian variety is equal to the Seshadri constant of its abelian subvariety if the Seshadri constant is relatively small with respect to its degree, or it contains an abelian divisor which has sufficiently small degree. As an application of these results, we show that the Seshadri constant of a polarized abelian surface is computed by the unique Seshadri curve if the Seshadri constant is small enough. As another application, we compute the Seshadri constants of some non-simple polarized abelian threefolds which contain principally polarized abelian surfaces.
Subvarieties of abelian varieties (14K12) Algebraic theory of abelian varieties (14K05) Varieties and morphisms (14A10)
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