Birational Geometry of Hypersurfaces

Name: Birational Geometry of Hypersurfaces
Brand: Springer Nature
SKU: 9783030186371
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Springer Nature

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9783030186371

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Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results. The aim of the school was to shed light on this vast area of research by concentrating on two main aspects: (1) Approaches focusing on (stable) rationality using deformation theory and Chow-theoretic tools like decomposition of the diagonal; (2) The connection between K3 surfaces, hyperkhler geometry and cubic fourfolds, which has both a Hodge-theoretic and a homological side. Featuring the beautiful lectures given at the school by Jean-Louis Colliot-Thlne, Daniel Huybrechts, Emanuele Macr, and Claire Voisin, the volume also includes additional notes by Jnos Kollr and an appendix by Andreas Hochenegger.

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