Jean-Louis Colliot-Thélène works in arithmetic algebraic geometry. He contributed to the study of rational points and of zero-cycles on rationally connected varieties. This involved the use of torsors and the Brauer–Manin obstruction. He applied results from algebraic K-theory (unramified cohomology) to rationality problems, also in complex algebraic geometry. He is the author of some 150 research papers, many written with various collaborators. Jean-Louis Colliot-Thélène received the Fermat prize and a Grand Prix de l“Académie des Sciences de Paris.
Alexei Skorobogatov works in arithmetic algebraic geometry with focus on rational points on algebraic varieties, the Brauer group and the Brauer–Manin obstruction, K3 surfaces and abelian varieties. He is the author of the book Torsors and Rational Points and over 75 research papers. Alexei Skorobogatov is the recipient of a Whitehead prize of the London Mathematical Society.
3 Ebooks von Jean-Louis Colliot-Thelene
Jean-Louis Colliot-Thelene & Kazuya Kato: Arithmetic Algebraic Geometry
This volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cyc …
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Englisch
DRM
€64.44
Jean-Louis Colliot-Thelene & Peter Swinnerton-Dyer: Arithmetic Geometry
Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties through arbitrary rings, in particular through non-algebraically closed fields. It …
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Englisch
DRM
€57.89
Jean-Louis Colliot-Thélène & Alexei N. Skorobogatov: The Brauer–Grothendieck Group
This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance o …
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Englisch
€128.39