English

The noncommutative MMP for blowup surfaces

Algebraic Geometry 2024-11-20 v2

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.

Keywords

Cite

@article{arxiv.2410.18446,
  title  = {The noncommutative MMP for blowup surfaces},
  author = {Tomohiro Karube},
  journal= {arXiv preprint arXiv:2410.18446},
  year   = {2024}
}

Comments

31 pages, comments welcome!

R2 v1 2026-06-28T19:33:48.705Z