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＜E-Book＞
Birational Geometry of Foliations / by Marco Brunella
(IMPA Monographs ; 1)

Edition	1st ed. 2015.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2015
Language	English
Size	XIV, 130 p. 35 illus : online resource
Authors	*Brunella, Marco author SpringerLink (Online service)
Subjects	LCSH:Geometry, Hyperbolic LCSH:Number theory LCSH:Geometry FREE:Hyperbolic Geometry FREE:Number Theory FREE:Geometry
Notes	Introduction: From Surfaces to Foliations -- Local Theory -- Foliations and Line Bundles -- Index Theorems -- Some Special Foliations -- Minimal Models -- Global 1-forms and Vector Fields -- The Rationality Criterion -- Numerical Kodaira Dimension -- Kodaira Dimension -- References The text presents the birational classification of holomorphic foliations of surfaces.  It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces  in the spirit of the classification of complex algebraic surfaces HTTP:URL=https://doi.org/10.1007/978-3-319-14310-1

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