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Birational Geometry of Hypersurfaces : Gargnano del Garda, Italy, 2018 / edited by Andreas Hochenegger, Manfred Lehn, Paolo Stellari
(Lecture Notes of the Unione Matematica Italiana. ISSN:18629121 ; 26)
版 | 1st ed. 2019. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2019 |
大きさ | IX, 297 p. 36 illus : online resource |
著者標目 | Hochenegger, Andreas editor Lehn, Manfred editor Stellari, Paolo editor SpringerLink (Online service) |
件 名 | LCSH:Algebraic geometry LCSH:Algebra, Homological FREE:Algebraic Geometry FREE:Category Theory, Homological Algebra |
一般注記 | 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. HTTP:URL=https://doi.org/10.1007/978-3-030-18638-8 |
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Springer eBooks | 9783030186388 |
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EB00196659 |
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