English

A note on specializing semi-orthogonal decompositions

Algebraic Geometry 2025-01-22 v1 Category Theory

Abstract

We prove that families of semi-orthogonal decompositions do not satisfy the existence part of the valuative criterion for properness, giving a negative answer to a question posed by Belmans, Okawa, and Ricolfi.

Cite

@article{arxiv.2501.10679,
  title  = {A note on specializing semi-orthogonal decompositions},
  author = {Weimufei Wu},
  journal= {arXiv preprint arXiv:2501.10679},
  year   = {2025}
}

Comments

4 pages, comments are very welcome

R2 v1 2026-06-28T21:10:04.750Z