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Birational geometry of foliations / Marco Brunella.

By: Material type: TextTextSeries: IMPA monographs ; v 1.Publication details: Cham : Springer, 2015.Description: xiv, 130 p. : illustrations ; 25 cmISBN:
  • 9783319143095
Subject(s): DDC classification:
  • 514.72 23 B894
Incomplete contents:
1. Local theory -- 2. Foliations and line bundles -- 3. Index theorems -- 4. Some special foliations -- 5. Minimal models -- 6. Global 1-forms and Vector Fields -- 7. The Rationality Criterion -- 8. Numerical Kodaira Dimension -- 9. Kodaira Dimension -- References -- Index.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 514.72 B894 (Browse shelf(Opens below)) Available 136918
Total holds: 0

Includes bibliographical references and index.

1. Local theory --
2. Foliations and line bundles --
3. Index theorems --
4. Some special foliations --
5. Minimal models --
6. Global 1-forms and Vector Fields --
7. The Rationality Criterion --
8. Numerical Kodaira Dimension --
9. Kodaira Dimension --
References --
Index.

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.

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