F-blowups of normal surface singularities
Nobuo Hara, Tadakazu Sawada, Takehiko Yasuda
TL;DR
This paper investigates F-blowups of non-F-regular normal surface singularities, focusing on rational double points and simple elliptic singularities, to understand their structure and properties.
Contribution
It provides a detailed analysis of F-blowups for specific classes of non-F-regular surface singularities, expanding understanding beyond F-regular cases.
Findings
F-blowups of rational double points are characterized
F-blowups of simple elliptic singularities are described in detail
New properties of non-F-regular singularities under F-blowups are identified
Abstract
We study F-blowups of non-F-regular normal surface singularities. Especially the cases of rational double points and simple elliptic singularities are treated in detail.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Polynomial and algebraic computation