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

• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
• Edizione: 1st ed. 2019.
• Descrizione fisica: 1 online resource (IX, 297 p. 36 illus.)
• Disciplina: 516.35; 516.5
• Soggetto topico: Algebraic geometry; Category theory (Mathematics); Homological algebra; Algebraic Geometry; Category Theory, Homological Algebra
• Persona (resp. second.): HocheneggerAndreas; LehnManfred; StellariPaolo
• 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. .
• Titolo autorizzato: Birational Geometry of Hypersurfaces
• ISBN: 3-030-18638-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910349318403321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes of the Unione Matematica Italiana, . 1862-9113 ; ; 26