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 of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer-Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book cove…
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Produktdetails
Weitere Autoren: Colliot-Thélène, Jean-Louis
- ISBN: 978-3-030-74247-8
- EAN: 9783030742478
- Produktnummer: 37136375
- Verlag: Springer International Publishing
- Sprache: Englisch
- Erscheinungsjahr: 2021
- Seitenangabe: 472 S.
- Masse: H24.1 cm x B16.0 cm x D3.1 cm 869 g
- Auflage: 1st ed. 2021
- Abbildungen: HC runder Rücken kaschiert
- Gewicht: 869
Über den Autor
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.
5 weitere Werke von Alexei N. Skorobogatov:
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