Cubic hypersurfaces and a result of Hermite

DOI10.1215/S0012-7094-87-05428-7zbMath0626.14020MaRDI QIDQ580457

Daniel F. Coray

Publication date: 1987

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

zbMATH Keywords

minimal polynomialfield extensionconjecture of Cassels and Swinnerton-Dyerexistence of rational point

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Rational points (14G05) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20)

Related Items (13)

Normalized Brauer factor sets ⋮ Asymptotics of waves on the shallow water generated by spatially-localized sources and trapped by underwater ridges ⋮ Asymptotic solutions of the Cauchy problem with localized initial conditions for linearized two-dimensional Boussinesq-type equations with variable coefficients ⋮ Hermite's theorem via Galois cohomology ⋮ Modular functions and resolvent problems (with an appendix by Nate Harman) ⋮ Forms of the Segre cubic ⋮ Joubert's theorem fails in characteristic 2 ⋮ Approximation of solutions of the two-dimensional wave equation with variable velocity and localized right-hand side using some ``simple solutions ⋮ A result of Hermite and equations of degree 5 and 6 ⋮ Conditions satisfied by characteristic polynomials in fields and division algebras ⋮ The Hermite–Joubert Problem and a Conjecture of Brassil and Reichstein ⋮ On the representation of localized functions in \(\mathbb R^2\) by the Maslov canonical operator ⋮ Two-dimensional wave equation with degeneration on the curvilinear boundary of the domain and asymptotic solutions with localized initial data

Cites Work

• Arithmetic on Singular Del Pezzo Surfaces
• Algebraic points on cubic hypersurfaces
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