Displaying similar documents to “Singular foliations of toric type”

Three-dimensional terminal toric flips

Osamu Fujino, Hiroshi Sato, Yukishige Takano, Hokuto Uehara (2009)

Open Mathematics

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We describe three-dimensional terminal toric flips. We obtain the complete local description of three-dimensional terminal toric flips.

On dicritical foliations and Halphen pencils

Luís Gustavo Mendes, Paulo Sad (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The aim of this article is to provide information on the number and on the geometrical position of singularities of holomorphic foliations of the projective plane. As an application it is shown that certain foliations are in fact Halphen pencils of elliptic curves. The results follow from Miyaoka’s semipositivity theorem, combined with recent developments on the birational geometry of foliations.