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Birational Geometry of Hypersurfaces

Gargnano del Garda, Italy, 2018
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Description

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.  
Release date Australia
October 17th, 2019
Audience
  • Professional & Vocational
Contributors
  • Edited by Andreas Hochenegger
  • Edited by Manfred Lehn
  • Edited by Paolo Stellari
Edition
1st ed. 2019
Illustrations
36 Illustrations, black and white; IX, 297 p. 36 illus.
Pages
297
Dimensions
156x234x16
ISBN-13
9783030186371
Product ID
30279208

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