Automorphism group of a moduli space of framed bundles over a curve

David Alfaya; Indranil Biswas

doi:10.1007/s10711-020-00541-7

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arXiv · 1802.01867

Automorphism group of a moduli space of framed bundles over a curve

David Alfaya·Indranil Biswas

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Abstract

Let $X$ be a smooth complex projective curve, and let $x\in X$ be a point. We compute the automorphism group of the moduli space of framed vector bundles on $X$ of rank $r \geq 2$ with a framing over $x$. It is shown that this automorphism group is generated by the following three: (1) pullbacks using automorphisms of the curve $X$ that fix the marked point $x$, (2) tensorization with certain line bundles over $X$ and (3) the action of $\operatorname{PGL}_r(\mathbb{C})$ through composition with the framing.

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BibTeX RIS

David Alfaya, Indranil Biswas. 2018-02-06. Automorphism group of a moduli space of framed bundles over a curve. https://doi.org/10.1007/s10711-020-00541-7

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