Biswas, I. ; Gomez, T. ; Munoz, V.
(2010)
*Torelli theorem for the moduli space of framed bundles*
Mathematical Proceedings of the Cambridge Philosophical Society, 148
(3).
pp. 409-423.
ISSN 0305-0041

Full text not available from this repository.

Official URL: http://journals.cambridge.org/abstract_S0305004109...

Related URL: http://dx.doi.org/10.1017/S0305004109990417

## Abstract

Let X be an irreducible smooth complex projective curve of genus g ≥ 2, and let x ∈ X be a fixed point. Fix r > 1, and assume that g > 2 if r = 2. A framed bundle is a pair (E, φ), where E is coherent sheaf on X of rank r and fixed determinant ξ_{r}, and φ : E_{x}→ C^{r} is a non-zero homomorphism. There is a notion of (semi)stability for framed bundles depending on a parameter τ > 0, which gives rise to the moduli space of τ-semistable framed bundles M^{τ}. We prove a Torelli theorem for M^{τ}, for τ > 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^{τ}.

Item Type: | Article |
---|---|

Source: | Copyright of this article belongs to Cambridge University Press. |

ID Code: | 3631 |

Deposited On: | 18 Oct 2010 10:17 |

Last Modified: | 20 May 2011 04:30 |

Repository Staff Only: item control page