Isotropy of quadratic forms over function fields of \(p\)-adic curves

DOI10.1007/BF02701768zbMath0972.11020WikidataQ105474393 ScholiaQ105474393MaRDI QIDQ1594564

Venapally Suresh, Raman Parimala

Publication date: 26 July 2001

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1998__88__129_0

zbMATH Keywords

\(u\)-invariantGalois cohomologyunramified cohomologyquadratic formzero-cycles\(p\)-adic fieldquadric fibrationCayley algebras

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Quadratic forms over local rings and fields (11E08)

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Strong linkage for function fields of surfaces, Adjoint groups over ℚ_{𝕡}(𝕏) and R-equivalence - revisited, Levels and sublevels of composition algebras, The \(u\)-invariant of the function fields of \(p\)-adic curves, Third Galois cohomology group of function fields of curves over number fields, The local-global principle for zero cycles on certain fibrations over a curve. I., Some Aspects of the Algebraic Theory of Quadratic Forms, Comparison of some field invariants, Clifford algebras and the universal invariant, Open problems on central simple algebras., Hermitian forms and the \(u\)-invariant, Hermitian analogue of a theorem of Springer, \(u\)-invariants for forms of higher degree, On theU-Invariant ofP-Adic Function Fields, Galois cohomology in degree 3 of function fields of curves over number fields, Local-global principles for constant reductive groups over semi-global fields, Spinor groups with good reduction, Linear spaces on the intersection of two quadratic hypersurfaces, and systems of \(p\)-adic quadratic forms, Adjoint groups over \(\mathbb Q_p(X)\) and R-equivalence., Shells of twisted flag varieties and the Rost invariant

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