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Birational Geometry of Hypersurfaces: Gargnano del Garda, Italy, 2018
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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Birational Geometry of Hypersurfaces ([EBook]) : Gargnano del Garda, Italy, 2018 / edited by Andreas Hochenegger, Manfred Lehn, Paolo Stellari.
Added Personal Name
Hochenegger, Andreas
Lehn, Manfred
Stellari, Paolo
Other name(s)
SpringerLink (Online service)
Publication
Cham : Springer International Publishing , 2019.
Physical Details
IX, 297 pages, 36 illus. : online resource.
Series
Lecture Notes of the Unione Matematica Italiana
; 26
ISBN
9783030186388
Summary Note
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. .:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-18638-8
Links to Related Works
Subject References:
Algebraic Geometry
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Category Theory, Homological Algebra
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Category theory (Mathematics)
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Homological algebra
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Authors:
editor
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Hochenegger, Andreas
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Lehn, Manfred
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Stellari, Paolo
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes of the Unione Matematica Italiana
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Classification:
516.35
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516.35 (DDC 23)
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