TY - JOUR T1 - Framed symplectic sheaves on surfaces JF - International Journal of Mathematics Y1 - 2018 A1 - Jacopo Vittorio Scalise AB -

A framed symplectic sheaf on a smooth projective surface $X$ is a torsion-free sheaf $E$ together with a trivialization on a divisor $D \subset X$ and a morphism $\Lambda^2 E \rightarrow \mathcal{O}_X$ satisfying some additional conditions. We construct a moduli space for framed symplectic sheaves on a surface, and present a detailed study for $X =\mathbb{P}_\mathbb{C}^2$. 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.

VL - 29 UR - https://doi.org/10.1142/S0129167X18500076 ER -