Framed sheaves on projective space and Quot schemes

Abstract:

We prove that, given integers m≥3, r≥1 and n≥0, the moduli space of torsion free sheaves on Pm with Chern character (r,0,…,0,−n) that are trivial along a hyperplane D⊂Pm is isomorphic to the Quot scheme QuotAm(O⊕r,n) of 0-dimensional length n quotients of the free sheaf O⊕r on Am. The proof goes by comparing the two tangent-obstruction theories on these moduli s

Authors

Alberto Cazzaniga, Andrea T. Ricolfi

Journal

Mathematische Zeitschrift

Publication date

28/06/2021

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