TY - BOOK AU - Brunella,Marco ED - SpringerLink (Online service) TI - Birational Geometry of Foliations T2 - IMPA Monographs SN - 9783319143101 AV - QA685 U1 - 516.9 23 PY - 2015/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - mathematics KW - Geometry KW - Hyperbolic Geometry KW - Number theory KW - Mathematics KW - Number Theory N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-319-14310-1 ER -