Quadratic forms and the u-invariant

DOI10.1007/BF01389692zbMath0267.10029OpenAlexW1547834472MaRDI QIDQ2562885

Richard Elman, Tsit-Yuen Lam

Publication date: 1973

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142222

Mathematics Subject Classification ID

Algebraic number theory: global fields (11R99) Quadratic and bilinear forms, inner products (15A63) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) General binary quadratic forms (11E16) Totally real fields (11R80)

Related Items

Formally real fields with a simple description of the absolute Galois group, Minimal forms with respect to function fields of conics, A note on small similarity groups, Differential forms, linked fields, and the \(u\)-invariant, COMMON SLOTS OF BILINEAR AND QUADRATIC PFISTER FORMS, On some Hasse principles over formally real fields, Pfister forms and their applications, Field of iterated Laurent series and its Brauer group, Fields with bounded Brauer 2-torsion index, On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3, Linkage of sets of cyclic algebras, On quadratic forms of height two and a theorem of Wadsworth, Round quadratic forms, The $u^n$-invariant and the symbol length of $H_2^n(F)$, Quadratic Forms, Fed-linked fields and formally real fields satisfying \(B_ 3\), Triple linkage of quadratic Pfister forms, Triple linkage, Conservative quadratic forms, Pfister ideals in Witt rings, Bicyclic algebras of prime exponent over function fields, Quadratic forms and profinite 2-groups, \(u\)-invariants of fields of characteristic 2, Similarity of quadratic forms and half-neighbors, Quadratic forms and the u-invariant. I, Digging holes in algebraic closures à la Artin. I, A note on the u-invariant of fields

Cites Work

• Unnamed Item
• Non-real fields \(k\) and infinite dimensional \(k\)-vectorspaces. (Quadratic forms and linear topologies. II)
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Proof of Krull's intersection theorem for the Witt ring
• Pfister forms and \(K\)-theory of fields
• Quadratic forms
• Quadratic forms ‘à la’ local theory
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields
• Quadratic forms over arbitrary fields