Toric Fano varieties with divisorial contractions to curves

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.

14 pages, Latex2e

Cited by in corpus (1)

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