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Torelli theorem for the moduli space of framed bundles | | Indranil Biswas
; Tomas L. Gomez
; Vicente Muñoz
; | | Date: |
14 Aug 2008 | | Abstract: | Let X be an irreducible smooth complex projective curve of genus g>2, and let
x be a fixed point. A framed bundle is a pair (E,phi), where E is a vector
bundle over X, of rank r and degree d, and phi:E_x o C^r is a non-zero
homomorphism. There is a notion of (semi)stability for framed bundles depending
on a parameter au>0, which gives rise to the moduli space of au-semistable
framed bundles M^ au. We prove a Torelli theorem for M^ au, for au>0 small
enough, meaning, the isomorphism class of the one-pointed curve (X,x), and also
the integer r, are uniquely determined by the isomorphism class of the variety
M^ au. | | Source: | arXiv, 0808.1996 | | Services: | Forum | Review | PDF | Favorites | |
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