On toric foliated pairs
Osamu Fujino, Hiroshi Sato
TL;DR
This paper explores key properties of log canonical toric foliated pairs, including extremal rational curves, Fujita's freeness, and Kodaira vanishing, advancing understanding in algebraic geometry.
Contribution
It provides new insights into the behavior of extremal curves and vanishing theorems specifically for toric foliated pairs, a specialized area in algebraic geometry.
Findings
Lengths of extremal rational curves are characterized.
Fujita's freeness results are extended to toric foliated pairs.
Kodaira vanishing theorem is analyzed in this context.
Abstract
We discuss lengths of extremal rational curves, Fujita's freeness, and the Kodaira vanishing theorem for log canonical toric foliated pairs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Combinatorial Mathematics · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models