Restriction of the Poincaré bundle to a Calabi-Yau hypersurface
| dc.creator | Biswas, Indranil | |
| dc.creator | Brambila-Paz, Leticia | |
| dc.date | 1999-02-25 | |
| dc.date.accessioned | 2026-07-07T05:28:02Z | |
| dc.date.available | 2026-07-07T05:28:02Z | |
| dc.description | Let $\cMx$ be the moduli space of stable vector bundles of rank $n\geq 3$ and determinant $ξ$ over a connected Riemann surface $X$, with $n$ and $d(ξ)$ coprime. Let $D$ be a Calabi-Yau hypersurface of $\cMx$. Denote by $U_D$ the restriction of the universal bundle to $X\times D$. It is shown that the restriction $(U_D)_x$ to $x\times D$ is stable, for any $x\in X$. Furthermore, for a general curve the connected component of the moduli space of semistable sheaves over $D$, containing $(U_D)_x$, is isomorphic to $X$. It is also shown that $U_D$ is stable for any polarisation, and the connected component of the moduli space of semistable sheaves over $X\times D$, containing $U_D$, is isomorphic to the Jacobian. Moreover, this is an isomorphism of polarised varieties, and hence such a moduli spaces determine the Reimann surface. | |
| dc.description | AMSLaTex file. To appear in Crelles J | |
| dc.identifier | https://arxiv.org/abs/math/9902145 | |
| dc.identifier | http://arxiv.org/abs/math/9902145 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78149 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Restriction of the Poincaré bundle to a Calabi-Yau hypersurface | |
| dc.type | text |