Intermediate Jacobians of moduli spaces
| dc.creator | Arapura, Donu | |
| dc.creator | Sastry, Pramathanath | |
| dc.date | 1996-12-07 | |
| dc.date.accessioned | 2026-07-07T09:07:07Z | |
| dc.date.available | 2026-07-07T09:07:07Z | |
| 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 curve X. Let $SU_X^s(n,L)$ denote the open subset parametrizing stable bundles. We show that if g>3 and n > 1, then the mixed Hodge structure on $H^3(SU_X^s(n, L))$ is pure of type ${(1,2),(2,1)}$ and it carries a natural polarization such that the associated polarized intermediate Jacobian is isomorphic J(X). This is new when deg L and n are not coprime. As a corollary, we obtain a Torelli theorem that says roughly that $SU_X^s(n,L)$ (or $SU_X(n,L)$) determines X. This complements or refines earlier results of Balaji, Kouvidakis-Pantev, Mumford-Newstead, Narasimhan-Ramanan, and Tyurin. | |
| dc.description | AMS-LaTeX, 16 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9612007 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9612007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150254 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Intermediate Jacobians of moduli spaces | |
| dc.type | text |