Birational geometry of hypersurfaces : Gargnano del Garda, Italy, 2018

• 其他作者：
  • Hochenegger, Andreas, editor.
  • Lehn, Manfred, editor.
  • Stellari, Paolo, editor.
  • SpringerLink (Online service)
• 其他題名：
  • Lecture notes of the Unione Matematica Italiana ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Lecture notes of the Unione Matematica Italiana,26
• 主題： Geometry, Projective. , Hypersurfaces. , Algebraic Geometry. , Category Theory, Homological Algebra.
• ISBN： 9783030186388 (electronic bk.) 、 9783030186371 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
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• 摘要註: 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, hyperkahler 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-Thelene, Daniel Huybrechts, Emanuele Macrì, and Claire Voisin, the volume also includes additional notes by Janos Kollar and an appendix by Andreas Hochenegger.
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