Geodesic
Seshadri constants of parabolic vector bundles
Documenta mathematica, Tome 28 (2023) no. 5, pp. 1163-1190

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Let X be a complex projective variety, and let E∗​ be a parabolic vector bundle on X with parabolic structure on a divisor. We introduce the notion of parabolic Seshadri constants of E∗​. It is shown that these constants are analogous to the classical Seshadri constants of vector bundles, in particular they have parallel definitions and properties. We prove a Seshadri criterion for parabolic ampleness of E∗​ in terms of the parabolic Seshadri constants of it. We also compute parabolic Seshadri constants for symmetric powers and tensor products of parabolic vector bundles.
DOI : 10.4171/dm/917
Classification : 14J60, 14C20
Mots-clés : Parabolic bundle, Seshadri constant, nef cone, ample cone, multiplicity 
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Indranil Biswas; Krishna Hanumanthu; Snehajit Misra; Nabanita Ray. Seshadri constants of parabolic vector bundles. Documenta mathematica, Tome 28 (2023) no. 5, pp. 1163-1190. doi: 10.4171/dm/917

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