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

D. Alfaya, I. Biswas

Geometriae Dedicata Vol. 211, nº. 1, pp. 71 - 104

Summary:

Let X be a smooth complex projective curve, and let x∈Xx∈X be a point. We compute the automorphism group of the moduli space of framed vector bundles on X of rank r≥2r≥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 PGLr(C)PGLr(C) through composition with the framing.

JCR Impact Factor and WoS quartile: 0,516 - Q4 (2021); 0,500 - Q4 (2022)

DOI reference: https://doi.org/10.1007/s10711-020-00541-7

Published on paper: April 2021.

Published on-line: May 2020.

Citation:
D. Alfaya, I. Biswas, Automorphism group of a moduli space of framed bundles over a curve. Geometriae Dedicata. Vol. 211, nº. 1, pp. 71 - 104, April 2021. [Online: May 2020]