Projective Isomonodromy and Galois Groups
العنوان: | Projective Isomonodromy and Galois Groups |
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المؤلفون: | Michael F. Singer, Claude Mitschi |
المساهمون: | Mitschi, Claude, Institut de Recherche Mathématique Avancée (IRMA), Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS) |
بيانات النشر: | HAL CCSD, 2010. |
سنة النشر: | 2010 |
مصطلحات موضوعية: | General Mathematics, 34M56, 12H05, 34M55, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], Galois group, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], Dynamical Systems (math.DS), 01 natural sciences, Linear differential equation, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, Algebraic number, Mathematics - Dynamical Systems, Mathematics, Group (mathematics), Applied Mathematics, 010102 general mathematics, 16. Peace & justice, [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], 010101 applied mathematics, Algebra, Differential Galois theory, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Monodromy, Mathematics - Classical Analysis and ODEs, Projective linear group, Algebraic differential equation |
الوصف: | In this article we introduce the notion of projective isomonodromy, which is a special type of monodromy evolving deformation of linear differential equations, based on the example of the Darboux-Halphen equation. We give an algebraic condition for a paramaterized linear differential equation to be projectively isomonodromic, in terms of the derived group of its parameterized Picard-Vessiot group. Comment: Version that will appear in the Proceedings of the American Mathematical Society |
اللغة: | English |
URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8d71400ec7055eea51b8fcee4361ce1 https://hal.archives-ouvertes.fr/hal-00456317 |
حقوق: | OPEN |
رقم الأكسشن: | edsair.doi.dedup.....b8d71400ec7055eea51b8fcee4361ce1 |
قاعدة البيانات: | OpenAIRE |
الوصف غير متاح. |