Birational Geometry of Hypersurfaces: Gargnano del Garda, Italy, 2018 (Paperback) (ISBN-13: 9783030186371)

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, hyperkähler 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-Thélène, Daniel Huybrechts, Emanuele Macrì, and Claire Voisin, the volume also includes additional notes by János Kollár and an appendix by Andreas Hochenegger.

Author: Andreas Hochenegger
ISBN-10: 3030186377
ISBN-13: 9783030186371
Publisher: Springer
Language: English
Published: 10/17/2019
Pages: 297
Format: Paperback
Weight: 0.96lbs
Size: 9.21h x 6.14w x 0.65d