Geodesic
Moduli of Rank 2 Stable Bundles and Hecke Curves
Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 865-877

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2016-058-9
Mots-clés : 14D21, Hecke curve, (0,1) stable bundle 
Pal, Sarbeswar. Moduli of Rank 2 Stable Bundles and Hecke Curves. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 865-877. doi: 10.4153/CMB-2016-058-9
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