The u-invariant of p-adic function fields

DOI10.1515/crelle.2012.029zbMath1276.11050OpenAlexW2053328256MaRDI QIDQ2838629

David B. Leep

Publication date: 10 July 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2012.029

zbMATH Keywords

\(u\)-invariantquadratic form\(p\)-adic fieldsystem of quadratic forms\(C_i\)-field

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Quadratic forms over general fields (11E04) Quadratic forms over local rings and fields (11E08)

Related Items (15)

Period-index bounds for arithmetic threefolds ⋮ Period-index and \(u\)-invariant questions for function fields over complete discretely valued fields ⋮ Hasse principles for quadratic forms over function fields ⋮ Une liste de problèmes ⋮ Fibers of flat morphisms and Weierstrass preparation theorem ⋮ Third Galois cohomology group of function fields of curves over number fields ⋮ Some aspects of rational points and rational curves ⋮ Local-global principle for quadratic forms over fraction fields of two-dimensional henselian domains ⋮ Classification theorems for Hermitian forms, the Rost kernel and Hasse principle over fields with \(\mathrm{cd}_2(k)\leq 3\) ⋮ Clifford algebras and the universal invariant ⋮ The Pythagoras number and the \(u\)-invariant of Laurent series fields in several variables ⋮ Patching over Berkovich curves and quadratic forms ⋮ Hermitian 𝑢-invariants over function fields of 𝑝-adic curves ⋮ On the \(u\)-invariant of function fields of curves over complete discretely valued fields ⋮ Shells of twisted flag varieties and the Rost invariant

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