Toric Fano varieties with divisorial contractions to curves

Details Toric Fano varieties with divisorial contractions to curves Toric Fano varieties with divisorial contractions to curves

2002-05-28

arxiv.org/abs/math/0205298v1

Mathematics

Algebraic Geometry

14 pages, Latex2e

Scientific paper

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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