Data di Pubblicazione:
2019
Citazione:
Birational geometry of hyersurfaces / [a cura di] A. Hochenegger, M. Lehn, P. Stellari. - [s.l] : Springer, 2019. - ISBN 9783030186371. (LECTURE NOTES OF THE UNIONE MATEMATICA ITALIANA) [10.1007/978-3-030-18638-8]
Abstract:
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.
Tipologia IRIS:
06 - Curatela di volume
Elenco autori:
A. Hochenegger, M. Lehn, P. Stellari
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