Non-Fiction Books:

Geometry Over Nonclosed Fields

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Hardback
$468.00
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Description

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. 

Author Biography:

Fedor Bogomolov, Courant Institute of Mathematical Sciences, New York, NYBrendan Hassett, Brown University, Providence, Rhode IslandYuri Tshinkel,Courant Institute of Mathematical Sciences, New York, NY
Release date NZ
February 10th, 2017
Audience
  • Professional & Vocational
Contributors
  • Edited by Brendan Hassett
  • Edited by Fedor Bogomolov
  • Edited by Yuri Tschinkel
Edition
1st ed. 2017
Illustrations
1 Illustrations, color; 2 Illustrations, black and white; IX, 261 p. 3 illus., 1 illus. in color.
Pages
261
Dimensions
155x235x16
ISBN-13
9783319497624
Product ID
26186887

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