Déformations isomonodromiques et variétés de Frobenius / Claude Sabbah
Type de document : MonographieCollection : Savoirs actuelsLangue : français.Pays: France.Éditeur : Paris : EDP Sciences : CNRS Éditions, 2002Description : 1 vol. (XVI-289 p.) ; 23 cmISBN: 9782868835345.ISSN: 1158-7563.Bibliographie : Bibliogr. p. [271]-282. Index.Sujet MSC : 32G34, Several complex variables and analytic spaces - Deformations of analytic structures, Moduli and deformations for ordinary differential equations32S30, Several complex variables and analytic spaces - Complex singularities, Deformations of complex singularities; vanishing cycles
32G05, Several complex variables and analytic spaces - Deformations of analytic structures, Deformations of complex structures
32S40, Several complex variables and analytic spaces - Complex singularities, Monodromy; relations with differential equations and D-modules
34M35, Ordinary differential equations in the complex domain, Singularities, monodromy and local behavior of solutionsEn-ligne : MSN | zbMath
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CMI Salle 1 | 32 SAB (Browse shelf(Opens below)) | Available | 12530-01 |
This beautiful textbook treats two subjects, one old and one more recent, and explains the links between them: the theory of isomonodromic deformations of integrable connections on the projective line P1, going back at least to R. Fuchs and the theory of Frobenius manifolds, developed by K. Saito and Dubrovin. It is designed to be accessible to a first-year graduate student; all of the needed background in the theory of holomorphic vector bundles on complex varieties, meromorphic connections, and integrability is explained, in a relaxed and pedagogical way, in the preparatory Chapter 0. Nevertheless, the book will also serve as a reference for this material, which is nowhere else collected together in such a readable and useful form ... (MSN)
Bibliogr. p. [271]-282. Index
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