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Canonical Toric Fano Threefolds

Published online by Cambridge University Press:  20 November 2018

Alexander M. Kasprzyk
Alexander M. Kasprzyk*
Affiliation:
School of Mathematics and Statistics, University of Sydney, Sydney, Australia
*
[email protected]
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Abstract

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An inductive approach to classifying all toric Fano varieties is given. As an application of this technique, we present a classification of the toric Fano threefolds with at worst canonical singularities. Up to isomorphism, there are 674,688 such varieties.

Keywords

14J3014J3014M2552B20toricFanothreefoldcanonical singularitiesconvex polytopes
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 6 , 14 December 2010 , pp. 1293 - 1309
Copyright
Copyright © Canadian Mathematical Society 2010

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