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Gorenstein Fano threefolds with base points in the anticanonical system

Published online by Cambridge University Press:  13 March 2006

Priska Jahnke  and
Ivo Radloff
Priska Jahnke
Affiliation:
Mathematisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germanypriska.jahnke@uni-bayreuth.de
Ivo Radloff
Affiliation:
Mathematisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germanyivo.radloff@uni-bayreuth.de
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Abstract

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We classify all Gorenstein Fano threefolds with at worst canonical singularities for which the anticanonical system |−K| has a nonempty base locus.

Keywords

Fano varietiesthreefolds14J4514J30
Type
Research Article
Information
Compositio Mathematica , Volume 142 , Issue 2 , March 2006 , pp. 422 - 432
Copyright
Foundation Compositio Mathematica 2006