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arXiv · 2202.10734

Toric Foliated Minimal Model Program

Weikun Wang
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Abstract

Using the theory of Klyachko filtrations for reflexive sheaves on toric varieties, we give a description of toric foliations and their singularities in terms of combinatorial data. We extend Spicer's results about co-rank one toric foliations to those of any ranks on $\mathbb{Q}$-factorial toric varieties and prove that the toric foliated Minimal Model Program exists.

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Weikun Wang. 2022-02-22. Toric Foliated Minimal Model Program. https://arxiv.org/abs/2202.10734

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