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Framed symplectic sheaves on surfaces

Scuola Internazionale di Studi Superiori Avanzati, Via Bonomea 265, 34136 Trieste, Italy

https://doi.org/10.1142/S0129167X18500076Cited by:1 (Source: Crossref)

Abstract

A framed symplectic sheaf on a smooth projective surface $X$ is a torsion-free sheaf $E$ together with a trivialization on a divisor $D \subseteq X$ and a morphism $Λ^{2} E \to 𝒪_{X}$ satisfying some additional conditions. We construct a moduli space for framed symplectic sheaves on a surface, and present a detailed study for $X = ℙ_{ℂ}^{2}$ . In this case, the moduli space is irreducible and admits an ADHM-type description and a birational proper map onto the space of framed symplectic ideal instantons.

Keywords:

AMSC: 14D20, 14D21, 14B10

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