株式会社極東書店トップ商品一覧Birational Geometry of Hypersurfaces : Gargnano del Garda, Italy, 2018. 1st ed. 2019.

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Birational Geometry of Hypersurfaces

Birational Geometry of Hypersurfaces : Gargnano del Garda, Italy, 2018. 1st ed. 2019.

・ISBN 978-3-030-18637-1 paper EUR 89.99

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お気に入り
著者・編者Hochenegger, Andreas / Lehn, Manfred / Stellari, Paolo (eds.),
シリーズLecture Notes of the Unione Matematica Italiana
出版社(Springer Nature Switzerland AG, SZ)
出版年月2019
ページ数297 pp.
言語ENG
ニュース番号<M25-4764>

解説

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, hyperkaehler 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-Thelene, Daniel Huybrechts, Emanuele Macri, and Claire Voisin, the volume also includes additional notes by Janos Kollar and an appendix by Andreas Hochenegger.