Complex and Differential Geometry

This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universität Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists from differential geometry and (complex) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.

This volume is based on contributions both by conference speakers and by participants, including in two cases articles from mathematicians who were unable to attend the meeting in Hannover.

The book provides a variety of survey articles giving valuable accounts of important developments in the areas discussed. A. Beauville and E. Markman write about holomorphic symplectic manifolds. Whereas Beauville’s contribution concentrates on open problems, Markman’s article discusses and develops recent work by Verbitsky on the global Torelli theorem for these manifolds. Bauer, Catanese and Pignatelli report on new results concerning the classification of surfaces of general type with vanishing geometric genus.

Complex and Differential Geometry: Conference held at Leibniz Universität Hannover
Wolfgang Ebeling, Klaus Hulek and Knut Smoczyk.

© Springer-Verlag Berlin Heidelberg 2011

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