Hasse principle for Witt groups of function fields with special reference to elliptic curves. (Appendix by J.-L. Colliot-Thélène)

DOI10.1215/S0012-7094-96-08521-XzbMath0876.11018OpenAlexW1548397687MaRDI QIDQ674635

R. Sujatha, Raman Parimala

Publication date: 1 June 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08521-x

zbMATH Keywords

function fieldelliptic curveWitt groupobstruction to Hasse principle

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Elliptic curves (14H52) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Local–global principles for curves over semi‐global fields

Cites Work

• Real components of algebraic varieties and étale cohomology
• Fields of cohomological 2-dimension three
• Witt groups of affine three-folds
• Graded Witt ring and unramified cohomology
• On the Hasse principle for Witt groups
• Duality theorems for curves over p-adic fields
• Principal Homogeneous Spaces Over Abelian Varieties
• Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.
• A Hasse principle for two dimensional global fields.
• La topologie du spectre réel
• Gersten's conjecture and the homology of schemes
• Witt groups of curves over local fields
• Zerlegung reeller algebraischer Funktionen in Quadrate. Schiefkörper über reellem Funktionenkörper.
• Diophantine Equations with Special Reference To Elliptic Curves
• Notes on elliptic curves. II.
• Notes on elliptic curves. I.
• Einige im Kleinen überall lösbare, im Großen unlösbare diophantische Gleichungen.
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