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＜E-Book＞
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)

Edition	1st ed. 2019.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2019
Size	IX, 297 p. 36 illus : online resource
Authors	Hochenegger, Andreas editor Lehn, Manfred editor Stellari, Paolo editor SpringerLink (Online service)
Subjects	LCSH:Algebraic geometry LCSH:Algebra, Homological FREE:Algebraic Geometry FREE:Category Theory, Homological Algebra
Notes	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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