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Geometry Over Nonclosed Fields

Language EnglishEnglish
Book Paperback
Book Geometry Over Nonclosed Fields Fedor Bogomolov
Libristo code: 20119161
Publishers Springer International Publishing AG, July 2018
Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves o... Full description
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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.

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About the book

Full name Geometry Over Nonclosed Fields
Author Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel
Language English
Binding Book - Paperback
Date of issue 2018
Number of pages 261
EAN 9783319842356
Libristo code 20119161
Publishers Springer International Publishing AG
Weight 454
Dimensions 155 x 235 x 15

Categories

Mathematics & Science > Mathematics > Geometry > Algebraic geometry
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