A remark on toric foliations
If a toric foliation on a projective Q -factorial toric variety has an extremal ray whose length is longer than the rank of the foliation, then the associated extremal contraction is a projective space bundle and the foliation is the relative tangent sheaf of the extremal contraction.
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| Veröffentlicht in: | Archiv der Mathematik 2024-06, Vol.122 (6), p.621-627 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | If a toric foliation on a projective
Q
-factorial toric variety has an extremal ray whose length is longer than the rank of the foliation, then the associated extremal contraction is a projective space bundle and the foliation is the relative tangent sheaf of the extremal contraction. |
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| ISSN: | 0003-889X 1420-8938 |
| DOI: | 10.1007/s00013-024-01991-1 |