On the fixed locus of framed instanton sheaves on $\mathbb{P}^3$

Abstract: Let T be the three dimensional torus acting on $\mathbb{P}^3$ and MT(c) be the fixed locus of the corresponding action on the moduli space of rank 2 framed instanton sheaves on $\mathbb{P}^3$. We show that MT(c) consist only of non locally-free instanton sheaves whose double dual is the trivial bundle. Moreover, we relate these instantons to multiple structures and give a classification of their support. This allows to compute a lower bound on the number of components of MT(c).

algebraic geometry

Audience: researchers in the topic

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Brazilian algebraic geometry seminar

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