Framed symplectic sheaves on surfaces

2016/04/05 by Scalise, Jacopo
#14D20 #14D21 #14J60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.01352

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⊆ X and a morphism Λ²E\rightarrowO_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_ℂ². In this case, the moduli space is irreducible and admits an ADHM-type description and a birational proper map into the space of framed symplectic ideal instantons.

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