Symplectic structure on a moduli space of sheaves on the cubic fourfold

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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.
Latex, 21 pages

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Algebraic Geometry, 14J60, 14J45

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http://salesiana.dossiersoluciones.com/handle/123456789/79233

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9910063
 http://arxiv.org/abs/math/9910063

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arXiv