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The noncommutative MMP for blowup surfaces

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arxiv 2410.18446 v2 pith:QE3X2VGM submitted 2024-10-24 math.AG

Tomohiro Karube This is my paper · ORCID
classification math.AG
keywords surfacesblowupsconstructnoncommutativepathsprogramblowupbridgeland
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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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  1. K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line

    math.AG 2026-08 conditional novelty 6.0 of 10

    In solvable models the quantum stability path enters the semiorthogonal selection region at finite time and never leaves; the cubic-fourfold chamber theorem and the full determinant dictionary remain conjectural.

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