Geometry Over Nonclosed Fields (Simons Symposia) - Softcover

Softcover

ISBN 10: 3319842358 ISBN 13: 9783319842356

Verlag: Springer, 2018

Inhaltsangabe

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. 

Über diesen Titel

Über die Autorin bzw. den Autor

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

Von der hinteren Coverseite

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 zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2018
• Sprache: Englisch
• ISBN 10: 3319842358
• ISBN 13: 9783319842356
• Einband: Taschenbuch
• Anzahl der Seiten: 272
• Herausgeber: Bogomolov Fedor, Hassett Brendan, Tschinkel Yuri
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland