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Brauer group and Diophantine geometry: A cohomological approach. (English) Zbl 0487.14006

Brauer groups in ring theory and algebraic geometry, Proc., Antwerp 1981, Lect. Notes Math. 917, 43-65 (1982).

MSC:

14G05 Rational points
11D57 Multiplicative and norm form equations
11R34 Galois cohomology
11R37 Class field theory
12G05 Galois cohomology
11E04 Quadratic forms over general fields
14G25 Global ground fields in algebraic geometry
14F22 Brauer groups of schemes
16Kxx Division rings and semisimple Artin rings