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20012022
most citedToric Fano manifolds of dimension at most eight with positive second Chern characters

3 citations · 11 across the 21 of their papers we have counts for

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math.AG2018

Examples of singular toric varieties with certain numerical conditions

Hiroshi Sato, Yusuke Suyama

We give various examples of Q-factorial projective toric varieties such that the sum of the squared torus invariant prime divisors is positive. We also determine the generators for…

math.AG2018

Terminal toric Fano three-folds with certain numerical conditions

Hiroshi Sato, Ryota Sumiyoshi

We completely classify the Q-factorial terminal toric Fano three-folds such that the sum of the squared torus invariant prime divisors is non-negative.

math.AG2018

Toric Fano contractions associated to long extremal rays

Osamu Fujino, Hiroshi Sato

We show that a toric Fano contraction associated to an extremal ray whose length is greater than the dimension of its fiber is a projective space bundle.