Hürlimann, Werner 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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 2 Documents 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 Keywords:Galois cohomology; Hasse principle; intersection of two quadrics; quaternion algebras; counterexamples to Hasse problem; del Pezzo surfaces; Teichmueller cocycle; Hasse problem for norm forms Citations:Zbl 0471.00011; Zbl 0326.14007 PDFBibTeX XML