The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan

Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation th

​​​​This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry.

The algebraic geometry community has a tradition of running a summer research institute every ten years. During these influential meetings a large number of mat