LAUSR

On Seshadri constants of non-simple abelian varieties

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1 Published in 2022 at "manuscripta mathematica"

DOI: 10.1007/s00229-022-01379-x

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… read more here.

Keywords: polarized abelian; seshadri constants; non simple; constants non ... See more keywords

Rationality of Seshadri constants on general blow ups of P2

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1 Published in 2020 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2020.106345

Abstract: Abstract Let X be a projective surface and let L be an ample line bundle on X. The global Seshadri constant e ( L ) of L is defined as the infimum of Seshadri constants… read more here.

Keywords: constants general; rationality seshadri; rationality; general blow ... See more keywords

Seshadri constants on some Quot schemes

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1 Published in 2021 at "Forum Mathematicum"

DOI: 10.1515/forum-2021-0123

Abstract: Abstract Let E be a vector bundle of rank n on ℙ1{\mathbb{P}^{1}}. Fix a positive integer d. Let ????⁢(E,d){\mathcal{Q}(E,d)} denote the Quot scheme of torsion quotients of E of degree d and let Gr⁢(E,d){\mathrm{Gr}(E,d)} denote… read more here.

Keywords: quot schemes; constants quot; seshadri constants;