1.

Record Nr.

UNINA9910349318403321

Titolo

Birational Geometry of Hypersurfaces : Gargnano del Garda, Italy, 2018 / / edited by Andreas Hochenegger, Manfred Lehn, Paolo Stellari

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-18638-5

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (IX, 297 p. 36 illus.)

Collana

Lecture Notes of the Unione Matematica Italiana, , 1862-9113 ; ; 26

Disciplina

516.35

516.5

Soggetti

Algebraic geometry

Category theory (Mathematics)

Homological algebra

Algebraic Geometry

Category Theory, Homological Algebra

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

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. .