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arXiv · 1907.08885

Birational geometry of moduli spaces of perverse coherent sheaves on blow-ups

Naoki Koseki
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Abstract

In order to study wall crossing formula of Donaldson type invariants on the blown-up plane, Nakajima-Yoshioka constructed a sequence of blow-up/blow-down diagrams connecting the moduli space of torsion free framed sheaves on projective plane, and that on its blow-up. In this paper, we prove that Nakajima-Yoshioka's diagram realizes the minimal model program. Furthermore, we obtain a fully-faithful embedding between the derived categories of these moduli spaces.

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Naoki Koseki. 2019-07-21. Birational geometry of moduli spaces of perverse coherent sheaves on blow-ups. https://doi.org/10.1007/s00209-021-02774-y

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