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Moduli of Rank 2 Stable Bundles and Hecke Curves

Published online by Cambridge University Press:  20 November 2018

Sarbeswar Pal
Sarbeswar Pal*
Affiliation:
Indian Institute of Science Education and Research Thiruvananthapuram, Thiruvananthapuram-695016, India e-mail: [email protected]
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Abstract

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Let $X$ be a smooth projective curve of arbitrary genus $g\,>\,3$ over the complex numbers. In this short note we will show that the moduli space of rank $2$ stable vector bundles with determinant isomorphic to ${{L}_{x}}$ , where ${{L}_{x}}$ denotes the line bundle corresponding to a point $x\,\in \,X$, is isomorphic to a certain variety of lines in the moduli space of $S$-equivalence classes of semistable bundles of rank $2$ with trivial determinant.

Keywords

14D21Hecke curve(0,1) stable bundle
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 4 , 01 December 2016 , pp. 865 - 877
Copyright
Copyright © Canadian Mathematical Society 2016

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