On toric and toroidal foliations
Chih-Wei Chang, Yen-An Chen
TL;DR
This paper develops toric descriptions for certain singularities in foliations on toric varieties and demonstrates the effectiveness of the toric foliated minimal model program by preserving key singularity types.
Contribution
It introduces toric descriptions for non-dicritical and F-dlt singularities and proves the toric foliated minimal model program preserves these singularities.
Findings
Toric descriptions for non-dicritical singularities
Toric descriptions for F-dlt singularities
Preservation of singularities in the minimal model program
Abstract
In this paper, we provide toric descriptions for various foliation singularities on toric varieties, especially for non-dicritical singularities and F-dlt singularities. We then show that the toric foliated minimal model program works by demonstrating that non-dicritical singularities and F-dlt singularities are preserved.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Nonlinear Waves and Solitons · Polynomial and algebraic computation