Symplectic structures on moduli spaces of framed sheaves on surfaces
Algebraic Geometry
2013-11-14 v2
Abstract
We provide generalizations of the notions of Atiyah class and Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on some birationally ruled surfaces.
Keywords
Cite
@article{arxiv.1111.3542,
title = {Symplectic structures on moduli spaces of framed sheaves on surfaces},
author = {Francesco Sala},
journal= {arXiv preprint arXiv:1111.3542},
year = {2013}
}
Comments
v2: final version to appear in Centr. Eur. J. Math, section "Examples" improved: we obtain new examples of non-compact holomorphic symplectic varieties