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Gorenstein Resolutions of 3-Dimensional Terminal Singularities

Published online by Cambridge University Press:  11 January 2016

Takayuki Hayakawa
Takayuki Hayakawa*
Affiliation:
Department of Mathematics, Kanazawa University, Kakuma-machi, Kanazawa, 920-1192, Japan, thaya@kenroku.kanazawa-u.ac.jp
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Abstract

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Let X be a 3-dimensional terminal singularity of index ≥ 2. We shall construct projective birational morphisms ƒ: Y → X such that Y has only Gorenstein terminal singularities and that ƒ factors the minimal resolution of a general member of | −KX |. We also study prime divisors of ƒ, especially the discrepancies of these prime divisors.

Keywords

14B05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 178 , 2005 , pp. 63 - 115
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2005

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