UID:
edoccha_9959338372502883
Format:
1 online resource (IX, 297 p. 36 illus.)
Edition:
1st ed. 2019.
ISBN:
3-030-18638-5
Series Statement:
Lecture Notes of the Unione Matematica Italiana, 26
Content:
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. .
Additional Edition:
ISBN 3-030-18637-7
Language:
English
DOI:
10.1007/978-3-030-18638-8
