Birational geometry of hypersurfaces [Documento eletrónico] : gargnano del garda, italy, 2018 / edited by Andreas Hochenegger, Manfred Lehn, Paolo Stellari
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, Springer, 2019Description: IX, 297 p. : il.ISBN: 978-3-030-18638-8.Series: Lecture Notes of the Unione Matematica Italiana, 26Subject - Topical Name: Algebraic geometry | Algebra, Homological Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA564.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 95330 |
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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