A Torelli theorem for moduli spaces of parabolic vector bundles over an elliptic curve

Thiago Fassarella; Luana Justo

A Torelli theorem for moduli spaces of parabolic vector bundles over an elliptic curve

Algebraic Geometry 2020-08-20 v2

Authors: Thiago Fassarella , Luana Justo

Abstract

Let $C$ be an elliptic curve, $w\in C$ , and let $S\subset C$ be a finite subset of cardinality at least $3$ . We prove a Torelli type theorem for the moduli space of rank two parabolic vector bundles with determinant line bundle $\mathcal O_C(w)$ over $(C,S)$ which are semistable with respect to a weight vector $\big(\frac{1}{2}, \dots, \frac{1}{2}\big)$ .

Keywords

torelli theorem parabolic vector bundles moduli space elliptic curve semistability

Cite

@article{arxiv.2008.05229,
  title  = {A Torelli theorem for moduli spaces of parabolic vector bundles over an elliptic curve},
  author = {Thiago Fassarella and Luana Justo},
  journal= {arXiv preprint arXiv:2008.05229},
  year   = {2020}
}

Comments

fixed minor typos, added references

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