Search results for " singularités"

showing 2 items of 2 documents

Local monomialization of generalized real analytic functions

2011

Generalized power series extend the notion of formal power series by considering exponents ofeach variable ranging in a well ordered set of positive real numbers. Generalized analytic functionsare defined locally by the sum of convergent generalized power series with real coe cients. Weprove a local monomialization result for these functions: they can be transformed into a monomialvia a locally finite collection of finite sequences of local blowingsup. For a convenient frameworkwhere this result can be established, we introduce the notion of generalized analytic manifoldand the correct definition of blowing-up in this category.

[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]resolution of singularitiesRésolution des singularités[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM][MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]Local monomializationUniformisation locale[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM][MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]local uniformization[ MATH.MATH-AG ] Mathematics [math]/Algebraic Geometry [math.AG]
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Sur la fonction croissance des variétés riemanniennes

2012

Nous donnons un aperçu du degré de différentiabilité de la fonction croissance des variétés riemanniennes ainsi que de ses singularités en dimension 2.

fonction croissance singularités fonctions de Morse surfaces.Settore MAT/03 - Geometria
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