The noncommutative MMP for blowup surfaces

Fuente: arXiv
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Main Author: Karube, Tomohiro
Format: Preprint
Published: 2024
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author Karube, Tomohiro
author_facet Karube, Tomohiro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_18446
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The noncommutative MMP for blowup surfaces
Karube, Tomohiro
Algebraic Geometry
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.
title The noncommutative MMP for blowup surfaces
topic Algebraic Geometry
url https://arxiv.org/abs/2410.18446