On the Hasse principle for cubic surfaces

DOI10.1112/S0025579300003879zbMath0151.03405OpenAlexW1999523900MaRDI QIDQ5529569

J. W. S. Cassels, Michael Guy

Publication date: 1966

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300003879

zbMATH Keywords

cubic surfacescubic formHasse principle

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Cubic and quartic Diophantine equations (11D25)

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Cites Work

• Einige Bemerkungen über die Auffindung der rationalen Punkte auf gewissen algebraischen Gebilden
• Über absolute Idealklassengruppen und Einheiten in algebraischen Zahlkörpern
• On the Conjecture for the Rational Points on a Cubic Surface
• Über die Klassenzahlen algebraischer Zahlkörper
• Beziehungen zwischen Klassenzahlen von Teilkörpern eines galoisschen Körpers. Herrn Professor Dr. Erhard Schmidt in dankbarer Verehrung zum 75. Geburtstag
• Sufficient congruence conditions for the existence of rational points on certain cubic surfaces