On toric foliated pairs

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Key Points

Lengths of extremal rational curves are critical in understanding toric foliated pairs, and they show significant relationships among various mathematical concepts.
The analysis reveals connections between Fujita's freeness and the properties of log canonical toric foliated pairs, suggesting deeper insights into their structures.
Kodaira vanishing theorem applies to these pairs, indicating important implications for the geometry of toric varieties involved.
The findings support the exploration of relationships in algebraic geometry, particularly focusing on toric varieties and their rational curves.

Analysis shows lengths of extremal rational curves in toric foliated pairs, highlighting Fujita's theory and Kodaira's implications.

We discuss lengths of extremal rational curves, Fujita's freeness, and the Kodaira vanishing theorem for log canonical toric foliated pairs.

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Fujino et al. (2025) studied this question.

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