On quadratic forms isotropic over the function field of a conic

DOI10.1007/BF01444545zbMath0698.12009MaRDI QIDQ912147

Markus Rost

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164747

zbMATH Keywords

curve of genus 0excellent function fieldquadratic forms over function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Quadratic forms over global rings and fields (11E12) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (14)

Isotropy of quadratic forms over the function field of a quadric in characteristic 2 ⋮ Quadratic forms isotropic over the function field of a conic ⋮ Minimal forms with respect to function fields of conics ⋮ On 6-dimensional quadratic forms isotropic over the function field of a quadric ⋮ Quadratic forms of height and degree 2 ⋮ Zeros of certain quadratic forms over rational function fields and Prestel's theorem ⋮ A proof of the Pfister factor conjecture ⋮ On the indecomposable quadratic forms of the image of the homomorphism \(W(F) \to W(F(\varphi))\) ⋮ (ℤ/2ℤ)⁴-CROSSED PRODUCTS OF EXPONENT 2 ⋮ Tractability of algebraic function fields in one variable of genus zero over global fields ⋮ Isotropy of certain quadratic forms of dimensions 7 and 8 over the function field of a quadric ⋮ Nonexcellence of the function field of the product of two conics ⋮ An odd degree descent problem for quasi-subforms of quadratic forms ⋮ Isotropy of 8-dimensional quadratic forms over function fields of quadrics

Cites Work

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• Cohomologische Invarianten quadratischer Formen

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