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

Irene Macías Tarrío; Calin Spiridon; Andrei Stoenică

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

Algebraic Geometry 2025-05-13 v2

Authors: Irene Macías Tarrío , Calin Spiridon , Andrei Stoenică

Abstract

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 $X$ .

Keywords

Brill-Noether loci Enriques surface Jacobian Kummer surface vector bundles moduli spaces stable bundles

Cite

@article{arxiv.2409.17837,
  title  = {Brill-Noether loci on an Enriques surface covered by a Jacobian Kummer surface},
  author = {Irene Macías Tarrío and Calin Spiridon and Andrei Stoenică},
  journal= {arXiv preprint arXiv:2409.17837},
  year   = {2025}
}

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