More cubic surfaces violating the Hasse principle
Jörg Jahnel (2011)
Journal de Théorie des Nombres de Bordeaux
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We generalize L. J. Mordell’s construction of cubic surfaces for which the Hasse principle fails.
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Displaying similar documents to “Real cubic hypersurfaces and group laws.”
More cubic surfaces violating the Hasse principle
Inflection points on real plane curves having many pseudo-lines.
Huisman, Johannes (2001)
Beiträge zur Algebra und Geometrie
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Real hypersurfaces with many simple singularities.
Eric Westenberger (2005)
Revista Matemática Complutense
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In this paper we present constructions of real hypersurfaces with many simple singularities and deduce an asymptotical optimal existence result for hypersurfaces corresponding to T-smooth germs of the equisingular stratum. We proceed along the lines of Shustin-Westenberge (2004) where analogous results were shown for the complex case.
Classification of five dimensional hypersurfaces with affine normal parallel cubic form.
Gigena, Salvador (2003)
Beiträge zur Algebra und Geometrie
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Isoparametric and Dupin hypersurfaces.
Cecil, Thomas E. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Weak pseudo-complementations on ADL’s
R. Vasu Babu, Ch. Santhi Sundar Raj, B. Venkateswarlu (2014)
Archivum Mathematicum
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The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U. M. Swamy and G. C. Rao [6] as a common abstraction of several lattice theoretic and ring theoretic generalization of Boolean algebras and Boolean rings. In this paper, we introduce the concept of weak pseudo-complementation on ADL’s and discuss several properties of this.
Uniqueness of Steiner laws on cubic curves.
Padmanabhan, R., McCune, W. (2006)
Beiträge zur Algebra und Geometrie
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Pseudo orbit tracing property and fixed points
Masatoshi Oka (1996)
Annales Polonici Mathematici
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If a continuous map f of a compact metric space has the pseudo orbit tracing property and is h-expansive then the set of all fixed points of f is totally disconnected.
Some families of pseudo-processes
J. Kłapyta (1994)
Annales Polonici Mathematici
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We introduce several types of notions of dis persive, completely unstable, Poisson unstable and Lagrange uns table pseudo-processes. We try to answer the question of how many (in the sense of Baire category) pseudo-processes with each of these properties can be defined on the space . The connections are discussed between several types of pseudo-processes and their limit sets, prolongations and prolongational limit sets. We also present examples of applications of the above results to...