Combinatorial descriptions of toric extremal contractions

Details Combinatorial descriptions of toric extremal contractions Combinatorial descriptions of toric extremal contractions

2004-04-27

arxiv.org/abs/math/0404476v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

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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