CrossRef Open Access 2021 24 sitasi

MMP for co-rank one foliations on threefolds

Paolo Cascini Calum Spicer

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Abstrak

AbstractWe prove existence of flips, special termination, the base point free theorem and, in the case of log general type, the existence of minimal models for F-dlt foliated pairs of co-rank one on a $${\mathbb {Q}}$$ Q -factorial projective threefold. As applications, we show the existence of F-dlt modifications and F-terminalisations for foliated pairs and we show that foliations with canonical or F-dlt singularities admit non-dicritical singularities. Finally, we show abundance in the case of numerically trivial foliated pairs.

Penulis (2)

Paolo Cascini

Calum Spicer

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APA MLA BibTeX

Cascini, P., Spicer, C. (2021). MMP for co-rank one foliations on threefolds. https://doi.org/10.1007/s00222-021-01037-1

Akses Cepat

Lihat di Sumber doi.org/10.1007/s00222-021-01037-1

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Total Sitasi: 24×
Sumber Database: CrossRef
DOI: 10.1007/s00222-021-01037-1
Akses: Open Access ✓