Geometry Over Nonclosed Fields / Simons Symposia (PDF)
(Sprache: Englisch)
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...
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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 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.
Autoren-Porträt
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
Bibliographische Angaben
- 2017, 1st ed. 2017, 261 Seiten, Englisch
- Herausgegeben: Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319497634
- ISBN-13: 9783319497631
- Erscheinungsdatum: 09.02.2017
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 4 MB
- Ohne Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
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