Search results for "Uniformisation"

showing 3 items of 3 documents

L'identité de Fay en théorie des systèmes intégrables

2011

Fay's identity on Riemann surfaces is a powerful tool in the context of algebro-geometric solutions to integrable equations. This relation generalizes a well-known identity for the cross-ratio function in the complex plane. It allows to establish relations between theta functions and their derivatives. This offers a complementary approach to algebro-geometric solutions of integrable equations with certain advantages with respect to the use of Baker-Akhiezer functions. It has been successfully applied by Mumford et al. to the Korteweg-de Vries, Kadomtsev-Petviashvili and sine-Gordon equations. Following this approach, we construct algebro-geometric solutions to the Camassa-Holm and Dym type …

Identité de FayOvale réelSolutions algébro-géométriques[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM]Equation de Camassa-HolmBase d'homologieAlgorithme de Tretkoff-TretkoffEquation de Schrödinger non linéaire vectorielle[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Equation de Davez-StewartsonEDPApplication d'uniformisationCourbe algébriqueSurface de Riemann[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]Breather rationnelSolitonDégénérescence de surface de RiemannFonction thêtaNo english keywordsPériodes de différentielles holomorphesThêta diviseur
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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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The contribution of the United Nations Commission on International Trade Law (UNCITRAL) to the Harmonization and Unification of International Trade L…

2014

The United Nations Commission on International Trade Law (UNCITRAL) is recognized as the core legal body of the United Nations system in the field of international trade law, and has a mandate from the UN General Assembly to harmonize, modernize and coordinate rules on international business. Since its inception over forty-five years ago, UNCITRAL has continued to pursue these aims in the key areas of international trade law such as international commercial arbitration and conciliation, international sales of goods and related transactions, security interests, international payments, international transport of goods, electronic commerce, procurement and infrastructure development. By adopti…

Droit commercial international[SHS.DROIT] Humanities and Social Sciences/LawHarmonizationHarmonisationCoordinationNormative actionCNUDCIUniformisationUNCITRALCompétence normativeInternational trade lawModernization
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