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Birational geometry of hypersurfaces...

Hochenegger, Andreas.

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Birational geometry of hypersurfaces = Gargnano del Garda, Italy, 2018 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Birational geometry of hypersurfaces/ edited by Andreas Hochenegger, Manfred Lehn, Paolo Stellari.
Reminder of title:	Gargnano del Garda, Italy, 2018 /
other author:	Hochenegger, Andreas.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	ix, 297 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Geometry, Projective. -
Online resource:	https://doi.org/10.1007/978-3-030-18638-8
ISBN:	9783030186388

Birational geometry of hypersurfaces = Gargnano del Garda, Italy, 2018 /
Birational geometry of hypersurfacesGargnano del Garda, Italy, 2018 /[electronic resource] :edited by Andreas Hochenegger, Manfred Lehn, Paolo Stellari. - Cham :Springer International Publishing :2019. - ix, 297 p. :ill., digital ;24 cm. - Lecture notes of the Unione Matematica Italiana,261862-9113 ;. - Lecture notes of the Unione Matematica Italiana ;26..

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 Macrì, and Claire Voisin, the volume also includes additional notes by Janos Kollar and an appendix by Andreas Hochenegger.

ISBN: 9783030186388

Standard No.: 10.1007/978-3-030-18638-8doiSubjects--Topical Terms:

518987
Geometry, Projective.

LC Class. No.: QA471 / .B573 2019

Dewey Class. No.: 516.5

Birational geometry of hypersurfaces = Gargnano del Garda, Italy, 2018 /
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490 1 $a Lecture notes of the Unione Matematica Italiana, $x 1862-9113 ; $v 26
520 $a 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 Macrì, and Claire Voisin, the volume also includes additional notes by Janos Kollar and an appendix by Andreas Hochenegger.
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