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Birational Geometry of Hypersurfaces Gargnano del Garda, Italy, 2018 /
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 ai...
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| Corporate Author: | |
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| Other Authors: | , , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2019.
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| Edition: | 1st ed. 2019. |
| Series: | Lecture notes of the Unione Matematica Italiana ;
26. |
| Subjects: | |
| Online Access: |
Full text (Wentworth users only) |
| Summary: | 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. . |
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| Physical Description: | IX, 297 pages 36 illustrations : online resource. |
| ISBN: | 9783030186388 |
| ISSN: | 1862-9113 ; |
| DOI: | 10.1007/978-3-030-18638-8 |