Moduli of flags of sheaves: a quiver description

Abstract: In [1], the moduli spaces of framed flags of sheaves on P2 were described by means of representations of the so-called enhanced ADHM quiver. We first review those results, with a recent refinement concerning the chamber structure in the space of stability parameters. We shall then discuss the obstruction theory for these moduli spaces, showing in general that they have a perfect obstruction theory, and providing for specific choices of invariants a class of unobstructed points. Finally, open problems and possible further developments will be presented. This is a joint work with Rodrigo von Flach and Marcos Jardim.

[1] R. A. von Flach and M. Jardim, Moduli spaces of framed flags of sheaves on the projective plane. Journal of Geometry and Physics 118 (2017), 138–168.

algebraic geometry

Audience: researchers in the topic

Brazilian algebraic geometry seminar

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