A note on specializing semi‐orthogonal decompositions

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 in [ Moduli spaces of semiorthogonal decompositions in families , arXiv:2002.03303v2].

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-08-14
DOI
https://doi.org/10.1112/blms.70173
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
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article

A note on specializing semi‐orthogonal decompositions

Bulletin of the London Mathematical Society
Polynomial and algebraic computation
article

A note on specializing semi‐orthogonal decompositions

article en

Abstract

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 in [ Moduli spaces of semiorthogonal decompositions in families , arXiv:2002.03303v2].

Bulletin of the London Mathematical SocietyVol. 57(11)
Peking University (CN)
Reduced inequalities
Openalex Percentile: Top 39%
Polynomial and algebraic computation
DOIOpen Access PDFOpenAlex
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