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Toric Fano varieties with divisorial contractions to curves

Hiroshi Sato
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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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Hiroshi Sato. 2002-05-28. Toric Fano varieties with divisorial contractions to curves. https://arxiv.org/abs/math/0205298

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