Geodesic
Seshadri constants of parabolic vector bundles
Documenta mathematica, Tome 28 (2023) no. 5, pp. 1163-1190 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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 
@article{10_4171_dm_917,
     author = {Indranil Biswas and Krishna Hanumanthu and Snehajit Misra and Nabanita Ray},
     title = {Seshadri constants of parabolic vector bundles},
     journal = {Documenta mathematica},
     pages = {1163--1190},
     year = {2023},
     volume = {28},
     number = {5},
     doi = {10.4171/dm/917},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/917/}
}
TY  - JOUR
AU  - Indranil Biswas
AU  - Krishna Hanumanthu
AU  - Snehajit Misra
AU  - Nabanita Ray
TI  - Seshadri constants of parabolic vector bundles
JO  - Documenta mathematica
PY  - 2023
SP  - 1163
EP  - 1190
VL  - 28
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/917/
DO  - 10.4171/dm/917
ID  - 10_4171_dm_917
ER  - 
%0 Journal Article
%A Indranil Biswas
%A Krishna Hanumanthu
%A Snehajit Misra
%A Nabanita Ray
%T Seshadri constants of parabolic vector bundles
%J Documenta mathematica
%D 2023
%P 1163-1190
%V 28
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/917/
%R 10.4171/dm/917
%F 10_4171_dm_917
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

Cité par Sources :