Newton's lemma XXVIII on integrable ovals in higher dimensions and reflection groups

DOI10.1112/blms/bdv002zbMath1315.14015OpenAlexW2077612056WikidataQ124973067 ScholiaQ124973067MaRDI QIDQ5245494

Victor A. Vassiliev

Publication date: 8 April 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdv002

zbMATH Keywords

finite reflection groupsovalsalgebraically integrable domainsconvex bounded domainsGauss--Manin connectionPicard--Lefschetz monodromysemialgebraic domains

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Integral transforms, operational calculus (44A99)

Related Items (11)

Domains with algebraic \(X\)-ray transform ⋮ Lacunas and local algebraicity of volume functions ⋮ A hypersurface containing the support of a Radon transform must be an ellipsoid. I: The symmetric case ⋮ On polynomially integrable convex bodies ⋮ On separably integrable symmetric convex bodies ⋮ Algebroidally integrable bodies ⋮ On Polynomially Integrable Domains in Euclidean Spaces ⋮ A few problems on monodromy and discriminants ⋮ Locally polynomially integrable surfaces and finite stationary phase expansions ⋮ New examples of locally algebraically integrable bodies ⋮ On algebraically integrable bodies

Cites Work

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• Le groupe de monodromie du déploiement des singularités isolées de courbes planes. I
• SHARPNESS AND THE LOCAL PETROVSKIĬ CONDITION FOR STRICTLY HYPERBOLIC OPERATORS WITH CONSTANT COEFFICIENTS
• Un prolongement de la transformation de Laplace qui transforme la solution unitaire d'un opérateur hyperbolique en sa solution élémentaire. (Problème de Cauchy. IV.)

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