Properties of moderate toric resolutions in dimension three

We study moderate toric resolutions introduced by Chávez-Martínez, Duarte and Yasuda, which appears in the relation between F-blowups and essential divisors. In particular, we address the problems, when it exists, and if it is the case, what properties it has in conjunction with the birational geometry and Hilbert basis resolutions, mainly in dimension three.

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Publication Details

Journal
Kodai Mathematical Journal
Published
2026-06-30
DOI
https://doi.org/10.2996/kmj49203
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
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preprint

Properties of moderate toric resolutions in dimension three

Yutaro Kaijima
Kodai Mathematical Journal
Algebraic Geometry and Number Theory
preprint

Properties of moderate toric resolutions in dimension three

Yutaro Kaijima
preprint en

Abstract

We study moderate toric resolutions introduced by Chávez-Martínez, Duarte and Yasuda, which appears in the relation between F-blowups and essential divisors. In particular, we address the problems, when it exists, and if it is the case, what properties it has in conjunction with the birational geometry and Hilbert basis resolutions, mainly in dimension three.

Kodai Mathematical JournalVol. 49(2)
The University of Osaka (JP)
Openalex Percentile: Top 93%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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