Geometry Over Nonclosed Fields

Fedor Bogomolov (u. a.)

ISBN 10: 3319497626 / ISBN 13: 9783319497624

Editore: Springer International Publishing, 2017

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Geometry Over Nonclosed Fields | Fedor Bogomolov (u. a.) | Buch | ix | Englisch | 2017 | Springer International Publishing | EAN 9783319497624 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

Codice articolo 108486041

Dati bibliografici

• Titolo: Geometry Over Nonclosed Fields
• Editore: Springer International Publishing
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 3319497626
• ISBN 13: 9783319497624
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 21 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 21 millimetri di profondità
• Peso: 576 grammi
• Cataloghi dei venditori:
  • Bücher

Descrizione articolo

Riassunto

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. 

Informazioni sull?autore

Fedor Bogomolov, Courant Institute of Mathematical Sciences, New York, NY

Brendan Hassett, Brown University, Providence, Rhode Island

Yuri Tshinkel,Courant Institute of Mathematical Sciences, New York, NY