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arXiv · 2410.18446

The noncommutative MMP for blowup surfaces

Tomohiro Karube
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Abstract

We study the noncommutative minimal model program for blowups of surfaces. The program, as defined by Halpern-Leistner, is designed to construct a quasiconvergent path in the space of Bridgeland stability conditions. In this paper, we construct a family of quasi-convergent paths in the case of blowups of surfaces. These paths provide different semiorthogonal decompositions through parameter transformation.

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Tomohiro Karube. 2024-10-24. The noncommutative MMP for blowup surfaces. https://arxiv.org/abs/2410.18446

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