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Combinatorial descriptions of toric extremal contractions

Hiroshi Sato
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Abstract

In this paper, we give explicit combinatorial descriptions for toric extremal contractions under the relative setting, where varieties do not need to be complete. Fujino's completion theorem is the key to the main result. As applications, we can generalize some of Mustata's results related to Fujita's conjecture on toric varieties for the relative case.

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Hiroshi Sato. 2004-04-27. Combinatorial descriptions of toric extremal contractions. https://arxiv.org/abs/math/0404476

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