Algebra & Number Theory

$F$-blowups of normal surface singularities

Nobuo Hara, Tadakazu Sawada, and Takehiko Yasuda

Full-text: Open access

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.

Article information

Source
Algebra Number Theory, Volume 7, Number 3 (2013), 733-763.

Dates
Received: 12 October 2011
Revised: 26 February 2012
Accepted: 13 April 2012
First available in Project Euclid: 20 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.ant/1513729970

Digital Object Identifier
doi:10.2140/ant.2013.7.733

Mathematical Reviews number (MathSciNet)
MR3095225

Zentralblatt MATH identifier
1303.14018

Subjects
Primary: 14B05: Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx]
Secondary: 14G17: Positive characteristic ground fields 14E15: Global theory and resolution of singularities [See also 14B05, 32S20, 32S45]

Keywords
$F$-blowups Frobenius maps rational double points simple elliptic singularities \textttMacaulay2

Citation

Hara, Nobuo; Sawada, Tadakazu; Yasuda, Takehiko. $F$-blowups of normal surface singularities. Algebra Number Theory 7 (2013), no. 3, 733--763. doi:10.2140/ant.2013.7.733. https://projecteuclid.org/euclid.ant/1513729970


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