Intermediate Jacobians and Hodge Structures of Moduli Spaces
| dc.creator | Arapura, Donu | |
| dc.creator | Sastry, Pramathanath | |
| dc.date | 1999-08-09 | |
| dc.date | 2007-12-10 | |
| dc.date.accessioned | 2026-07-07T08:48:02Z | |
| dc.date.available | 2026-07-07T08:48:02Z | |
| dc.description | Let SU_X(n,L) be the moduli space of rank n semistable vector bundles with fixed determinant L on a smooth projective genus g>1 curve X. Let SU_X^s(n,L) denote the open subset parameterizing stable bundles. We show that for small i, the mixed Hodge structure on H^i(SU_X^s(n, L), Q) is independent of the degree of L, and hence pure of weight i. Moreover any simple factors is, up to Tate twisting, isomorphic to a summand of a tensor power of H^1(X,Q). A more precise statement for i = 3, yields a Torelli theorem complementing earlier work of several authors. This is a replacement of our preprint Intermediate Jacobians of Moduli spaces which contained a gap. | |
| dc.description | It was brought to our attention, by H. Esnault, that the hyperplane H in our thm 6.1.1 needs to be general. Further comments are contained in the text | |
| dc.identifier | https://arxiv.org/abs/math/9908037 | |
| dc.identifier | http://arxiv.org/abs/math/9908037 | |
| dc.identifier | Proc. Indian Acad. Sci. Math. Sci. 110 (2000) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143806 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05 | |
| dc.title | Intermediate Jacobians and Hodge Structures of Moduli Spaces | |
| dc.type | text |