Brill-Noether loci on an Enriques surface covered by a Jacobian Kummer surface

Fuente: arXiv
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Autori principali: Tarrío, Irene Macías, Spiridon, Calin, Stoenică, Andrei
Natura: Preprint
Pubblicazione: 2024
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author Tarrío, Irene Macías
Spiridon, Calin
Stoenică, Andrei
author_facet Tarrío, Irene Macías
Spiridon, Calin
Stoenică, Andrei
contents The aim of this note is to exhibit proper first Brill-Noether loci inside the moduli spaces $M_{Y,H}(2;c_1,c_2)$ of $H$-stable rank $2$ vector bundles with fixed Chern classes of a certain type on an Enriques surface $Y$ which is covered by a Jacobian Kummer surface $X$.
format Preprint
id arxiv_https___arxiv_org_abs_2409_17837
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Brill-Noether loci on an Enriques surface covered by a Jacobian Kummer surface
Tarrío, Irene Macías
Spiridon, Calin
Stoenică, Andrei
Algebraic Geometry
14J28, 14J60
The aim of this note is to exhibit proper first Brill-Noether loci inside the moduli spaces $M_{Y,H}(2;c_1,c_2)$ of $H$-stable rank $2$ vector bundles with fixed Chern classes of a certain type on an Enriques surface $Y$ which is covered by a Jacobian Kummer surface $X$.
title Brill-Noether loci on an Enriques surface covered by a Jacobian Kummer surface
topic Algebraic Geometry
14J28, 14J60
url https://arxiv.org/abs/2409.17837