F-blowups of normal surface singularities

Hara, Nobuo; Sawada, Tadakazu; Yasuda, Takehiko

doi:10.2140/ant.2013.7.733

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$F$-blowups of normal surface singularities

Nobuo Hara, Tadakazu Sawada and Takehiko Yasuda

Vol. 7 (2013), No. 3, 733–763

DOI: 10.2140/ant.2013.7.733

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.

Keywords

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

Mathematical Subject Classification 2010

Primary: 14B05

Secondary: 14G17, 14E15

Milestones

Received: 12 October 2011

Revised: 26 February 2012

Accepted: 13 April 2012

Published: 23 August 2013

Authors

Nobuo Hara
Mathematical Institute Tohoku University Sendai 980-8578 Japan

Tadakazu Sawada
Department of General Education Fukushima National College of Technology Iwaki 970-8034 Japan

Takehiko Yasuda
Department of Mathematics, Graduate School of Science Osaka University Toyonaka 560-0043 Japan

Vol. 7, No. 3, 2013