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Birational Geometry of Hypersurfaces - Gargnano del Garda, Italy, 2018 (English, French, Paperback, 1st ed. 2019)
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Birational Geometry of Hypersurfaces - Gargnano del Garda, Italy, 2018 (English, French, Paperback, 1st ed. 2019)
Series: Lecture Notes of the Unione Matematica Italiana, 26
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Total price: R2,563
Discovery Miles: 25 630
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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, hyperkahler 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.
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