Link Download ebook Free: https://ouo.io/0h5UTR Birational Geometry of Hypersurfaces Gargnano del Garda, Italy, 2018 By: Andreas Hochenegger Publisher: Springer Print ISBN: 9783030186371, 3030186377 eText ISBN: 9783030186388, 3030186385 Copyright year: 2019 Format: EPUB Available from $ 79.99 USD SKU 9783030186388 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.
