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商品詳細
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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| 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.