Birational Geometry of Hypersurfaces:Gargnano del Garda, Italy, 2018(Lecture Notes of the Unione Matematica Italiana)

超曲面的双向几何:意大利会议 2018 / 会议录

代数学

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751.00
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出版时间
2019年10月17日
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平装
ISBN
9783030186371
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页      码
297
语      种
英文
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图书简介
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 inprojective 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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