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Titlebook: Birational Geometry of Hypersurfaces; Gargnano del Garda, Andreas Hochenegger,Manfred Lehn,Paolo Stellari Book 2019 Springer Nature Switze

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發(fā)表于 2025-3-21 16:16:58 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Birational Geometry of Hypersurfaces
期刊簡稱Gargnano del Garda,
影響因子2023Andreas Hochenegger,Manfred Lehn,Paolo Stellari
視頻videohttp://file.papertrans.cn/189/188839/188839.mp4
發(fā)行地址Describes the most intriguing Hodge-theoretic aspects of cubic fourfolds.Presents well-written surveys by leading experts on recent developments on rationality questions for hypersurfaces.Provides a c
學(xué)科分類Lecture Notes of the Unione Matematica Italiana
圖書封面Titlebook: Birational Geometry of Hypersurfaces; Gargnano del Garda,  Andreas Hochenegger,Manfred Lehn,Paolo Stellari Book 2019 Springer Nature Switze
影響因子.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, hyperk?hler 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.. .?.
Pindex Book 2019
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https://doi.org/10.1007/978-3-030-18638-814-06,14E08,16E35,14D22,14C30; Algebraic Geometry; Rational Varieties; Cubic Fourfolds; Derived Categori
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Hodge Theory of Cubic Fourfolds, Their Fano Varieties, and Associated K3 Categoriesge structures that come naturally associated with a cubic fourfold. The emphasis is on the Hodge and lattice theoretic aspects with many technical details worked out explicitly. More geometric or derived results are only hinted at.
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https://doi.org/10.1007/978-3-658-40109-2o distinguish (stably) rational varieties from general unirational varieties. In particular, we study the notion of Chow or cohomological decomposition of the diagonal, which is a necessary criterion for stable rationality. Having better stability properties than the previously known obstructions un
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