Birational Geometry of Hypersurfaces Gargnano del Garda, Italy, 2018 /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Hochenegger, Andreas (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Lehn, Manfred (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Stellari, Paolo (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Lecture Notes of the Unione Matematica Italiana, 26
• Θέματα: Algebraic geometry.; Category theory (Mathematics).; Homological algebra.; Algebraic Geometry.; Category Theory, Homological Algebra.
• Φυσική περιγραφή: IX, 297 p. 36 illus. online resource.
• ISBN: 9783030186388
• ISSN: 1862-9113 ;
• DOI: 10.1007/978-3-030-18638-8

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. .