Symplectic structure on a moduli space of sheaves on the cubic fourfold
| dc.creator | Markushevich, D. | |
| dc.creator | Tikhomirov, A. S. | |
| dc.date | 1999-10-13 | |
| dc.date.accessioned | 2026-07-07T05:31:08Z | |
| dc.date.available | 2026-07-07T05:31:08Z | |
| dc.description | A 10-dimensional symplectic moduli space of torsion sheaves on the cubic 4-fold is constructed. It parametrizes the stable rank 2 vector bundles on the hypeplane sections of the cubic 4-fold which are obtained by Serre's construction from normal elliptic quintics. The natural projection to the dual projective 5-space parametrizing the hyperplane sections is a Lagrangian fibration. The symplectic structure is closely related (and conjecturally, is equal) to the quasi-symplectic one, induced by the Yoneda pairing on the moduli space. | |
| dc.description | Latex, 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/9910063 | |
| dc.identifier | http://arxiv.org/abs/math/9910063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79233 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60, 14J45 | |
| dc.title | Symplectic structure on a moduli space of sheaves on the cubic fourfold | |
| dc.type | text |