Reduction of the singularities of foliations and applications
Felipe Cano (1998)
Banach Center Publications
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Felipe Cano (1998)
Banach Center Publications
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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.
Alejandro Melle-Hernández (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Takuya Tsuchiya (1987/88)
Numerische Mathematik
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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.
Lawrence Brenton (1981)
Compositio Mathematica
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C. T. C. Wall (1980)
Compositio Mathematica
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