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Local monomialization of generalized real analytic functions

Abstract : Generalized analytic functions are defined by real generalized convergent power series. We study the extension of the real analytic geometry to those algebras of functions. To set a good context we introduce the notion of real generalized analytic manifold. They are topological manifolds with boundary with the structure given by the sheaf of real generalized analytic functions. Our principal result is a local monomialisation theorem of these fonctions.
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https://tel.archives-ouvertes.fr/tel-00695968
Contributor : Rafael Martín Villaverde Connect in order to contact the contributor
Submitted on : Thursday, May 10, 2012 - 1:46:40 PM
Last modification on : Thursday, August 4, 2022 - 5:07:59 PM
Long-term archiving on: : Saturday, August 11, 2012 - 2:33:09 AM

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  • HAL Id : tel-00695968, version 1

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Rafael Martín Villaverde. Local monomialization of generalized real analytic functions. Algebraic Geometry [math.AG]. Université de Bourgogne, 2011. English. ⟨tel-00695968⟩

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