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

DOI

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
@article{10_4153_CMB_2016_058_9,
     author = {Pal, Sarbeswar},
     title = {Moduli of {Rank} 2 {Stable} {Bundles} and {Hecke} {Curves}},
     journal = {Canadian mathematical bulletin},
     pages = {865--877},
     year = {2016},
     volume = {59},
     number = {4},
     doi = {10.4153/CMB-2016-058-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-058-9/}
}
TY  - JOUR
AU  - Pal, Sarbeswar
TI  - Moduli of Rank 2 Stable Bundles and Hecke Curves
JO  - Canadian mathematical bulletin
PY  - 2016
SP  - 865
EP  - 877
VL  - 59
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-058-9/
DO  - 10.4153/CMB-2016-058-9
ID  - 10_4153_CMB_2016_058_9
ER  - 
%0 Journal Article
%A Pal, Sarbeswar
%T Moduli of Rank 2 Stable Bundles and Hecke Curves
%J Canadian mathematical bulletin
%D 2016
%P 865-877
%V 59
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-058-9/
%R 10.4153/CMB-2016-058-9
%F 10_4153_CMB_2016_058_9

Cité par Sources :