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Geometry Over Nonclosed Fields

Name: Geometry Over Nonclosed Fields
Brand: Springer International Publishing AG
SKU: 15195006
Price: 67025 HUF
Availability: InStock
Author: Fedor Bogomolov
ISBN: 9783319497624

Fedor Bogomolov

Brendan Hassett

Yuri Tschinkel

Language

English

Book Hardback

Libristo code: 15195006

Publishers Springer International Publishing AG, February 2017

Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves o... Full description

Libristo code: 15195006

462 b

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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 outlined 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 books 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.