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arXiv:1111.3542 [math.AG]AbstractReferencesReviewsResources

Symplectic structures on moduli spaces of framed sheaves on surfaces

Francesco Sala

Published 2011-11-15, updated 2012-05-10Version 2

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.

Comments: v2: final version to appear in Centr. Eur. J. Math, section "Examples" improved: we obtain new examples of non-compact holomorphic symplectic varieties
Journal: Central European Journal of Mathematics, 2012, 10, no. 4, 1455-1471
Categories: math.AG
Subjects: 14J60, 14D20, 14D21
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