Toric Fano varieties with divisorial contractions to curves

2002/05/28 by Hiroshi Sato, Sato, Hiroshi
Mathematics · #14E30 #14J45 #14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E30 #msc:14J45 #msc:14M25

paper · pdf · doi:10.48550/arxiv.math/0205298

14 pages, Latex2e

arxiv created 2002/05/28 · arxiv updated 2009/11/30

Abstract

In this paper, we obtain a complete classification of smooth toric Fano varieties equipped with extremal contractions which contract divisors to curves for any dimension. As an application, we obtain a complete classification of smooth projective toric varieties which can be equivariantly blown-up to Fano along curves.

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