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Titlebook: Geometry Over Nonclosed Fields; Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel Conference proceedings 2017 Springer International Publishi

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書(shū)目名稱Geometry Over Nonclosed Fields
編輯Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel
視頻videohttp://file.papertrans.cn/384/383751/383751.mp4
概述Covers exciting new research in the fields of classical algebraic geometry and arithmetic geometry.Examines recent research and results concerning K3-surfaces, including formulations of the Torelli Th
叢書(shū)名稱Simons Symposia
圖書(shū)封面Titlebook: Geometry Over Nonclosed Fields;  Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel Conference proceedings 2017 Springer International Publishi
描述Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves on higher-dimensional algebraic varieties and applications of the theory of curves to arithmetic problems. There has been significant progress in this field with major new results, which have given new impetus to the study of rational curves and spaces of rational curves on K3 surfaces and their higher-dimensional generalizations.?One main recent insight the book covers is the?idea that the geometry of rational curves is tightly coupled to properties of derived categories of sheaves on K3 surfaces. The implementation of this idea led to proofs of long-standing conjectures concerning birational properties of holomorphic symplectic varieties, which in turn should yield new theorems in arithmetic. This proceedings volume covers these new insights in detail.?.
出版日期Conference proceedings 2017
關(guān)鍵詞algebraic geometry; rational curves; K3 surfaces; cubic four-folds; hyper-Kahler manifolds
版次1
doihttps://doi.org/10.1007/978-3-319-49763-1
isbn_softcover978-3-319-84235-6
isbn_ebook978-3-319-49763-1Series ISSN 2365-9564 Series E-ISSN 2365-9572
issn_series 2365-9564
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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A Stronger Derived Torelli Theorem for K3 Surfaces,hen they are isomorphic. In this paper we study more refined aspects of filtered derived equivalences related to the action on the cohomological realizations of the Mukai motive. It is shown that if a filtered derived equivalence between K3 surfaces also preserves ample cones then one can find an is
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Odd-Dimensional Cohomology with Finite Coefficients and Roots of Unity,le smooth projective variety implies the existence of certain primitive roots of unity in the field of definition of the variety. This text was inspired by an exercise in Serre’s Lectures on the Mordell–Weil theorem.
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Conference proceedings 2017cations of the theory of curves to arithmetic problems. There has been significant progress in this field with major new results, which have given new impetus to the study of rational curves and spaces of rational curves on K3 surfaces and their higher-dimensional generalizations.?One main recent in
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