Asymptotically flat divisors and strongly $F$-regular type varieties

In this paper, we define the notion of asymptotically flat divisor on a normal variety over $\C$, and prove that if $X$ is a strongly $F$-regular type variety and $K_X$ is asymptotically flat, then $X$ is of klt type.

Publication Details

Journal
ArXiv.org
Published
2025-10-13
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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article

Asymptotically flat divisors and strongly $F$-regular type varieties

ArXiv.org
Algebraic Geometry and Number Theory
article

Asymptotically flat divisors and strongly $F$-regular type varieties

article en

Abstract

In this paper, we define the notion of asymptotically flat divisor on a normal variety over $\C$, and prove that if $X$ is a strongly $F$-regular type variety and $K_X$ is asymptotically flat, then $X$ is of klt type.

ArXiv.org
Openalex Percentile: Top 37%
Algebraic Geometry and Number Theory
Open Access PDFOpenAlex
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Asymptotically flat divisors and strongly $F$-regular type varieties · ArXiv.org (2025) | TGRS Research Map | TGRS