Birational Geometry of Hypersurfaces : Gargnano del Garda, Italy, 2018. 1st ed. 2019

種類:

電子ブック

責任表示:

edited by Andreas Hochenegger, Manfred Lehn, Paolo Stellari

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Hochenegger, Andreas.
• Lehn, Manfred.
• Stellari, Paolo.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes of the Unione Matematica Italiana ; 26

ISBN:

9783030186388 [3030186385]    

注記:

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. .

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