Geometry Over Nonclosed Fields

Taschenbuch - 9783319842356
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Hardcover - 9783319497624
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Hardcover - 9783319497624
160,49 €

Beschreibung

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. 

Details

Verlag Springer International Publishing
Ersterscheinung Juli 2018
Maße 235 mm x 155 mm x 14 mm
Gewicht 415 Gramm
Format Taschenbuch
ISBN-13 9783319842356
Auflage Softcover reprint of the original 1st ed. 2017
Seiten 272

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