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

Thiago Fassarella; Luana Justo

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arXiv · 2008.05229

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

Thiago Fassarella·Luana Justo

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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 $\big(\frac{1}{2}, \dots, \frac{1}{2}\big)$.

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Thiago Fassarella, Luana Justo. 2020-08-19. A Torelli theorem for moduli spaces of parabolic vector bundles over an elliptic curve. https://arxiv.org/abs/2008.05229

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