Birational geometry of foliations
著者
書誌事項
Birational geometry of foliations
(IMPA monographs, v. 1)
Springer, c2015
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注記
Includes bibliographical references (p. 127-128) and index
内容説明・目次
内容説明
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.
目次
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.
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