RT Journal Article
T1 Torelli theorem for the moduli space of framed bundles
A1 Biswas, Indranil
A1 Gomez, Tomas
A1 Muñoz, Vicente
AB Let X be an irreducible smooth complex projective curve of genus g >= 2, and let x is an element of X be a fixed point. Fix r > 1, and assume that g > 2 if r = 2. A framed bundle is a pair (E, phi), where E is coherent sheaf on X of rank r and fixed determinant xi, and phi: E(x) > C(r) is a non-zero homomorphism. There is a notion of (semi)stability for framed bundles depending on a parameter tau > 0, which gives rise to the moduli space of tau-semistable framed bundles M(tau). We prove a Torelli theorem for M(tau), for tau > 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(tau).
PB Cambridge Univ Press
SN 0305-0041
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42387
UL https://hdl.handle.net/20.500.14352/42387
LA eng
DS Docta Complutense
RD 9 abr 2025