Sabbah, Claude

Isomonodromic deformations and Frobenius manifolds an introduction by Claude Sabbah ( Book )
23 editions published between 2002 and 2008 in English and French and held by 396 libraries worldwide
"The notion of a Frobenius structure on a complex analytic manifold appeared at the end of the 1970s in the theory of singularities of holomorphic functions. Motivated by physical considerations, further development of the theory has opened new perspectives on, and revealed new links between, many apparently unrelated areas of mathematics and physics." "Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of the classical problems of linear differential equations and ends with applications to recent research questions related to mirror symmetry." "Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry."--Jacket.

Polarizable twistor D-modules by Claude Sabbah ( Book )
6 editions published in 2005 in English and French and held by 151 libraries worldwide
We prove a Decomposition Theorem for the direct image of an irreducible local system on a smooth complex projective variety under a morphism with values in another smooth complex projective variety. For this purpose, we construct a category of polarized twistor D-modules and show a Decomposition Theorem in this category = Nous montrons un théorème de décomposition pour l'image directe d'un système local irréductible sur une variété projective complexe lisse par un morphisme à valeurs dans une autre variété projective complexe lisse. À cet effet, nous construisons une catégorie de Dmodules avec structure de twisteur polarisée et nous montrons un théorème de décomposition dans cette catégorie.

Equations différentielles à points singuliers irréguliers et phénomène de Stokes en dimension 2 by Claude Sabbah ( Book )
5 editions published in 2000 in French and English and held by 137 libraries worldwide

Où en sont les mathématiques by Société mathématique de France ( Book )
1 edition published in 2002 in French and held by 79 libraries worldwide

Images directes et constructibilité ( Book )
2 editions published in 1993 in French and held by 57 libraries worldwide

D-modules cohérents et holonomes ( Book )
3 editions published in 1993 in English and French and held by 52 libraries worldwide

Théorie des jeux : introduction à la théorie des jeux répétés ( Book )
1 edition published in 2007 in French and held by 45 libraries worldwide

Théorie algorithmique des nombres et équations diophantiennes by Journées X-UPS ( Book )
1 edition published in 2005 in French and held by 37 libraries worldwide

Sur la dynamique des groupes de matrices et applications arithmétiques by Journées X-UPS ( Book )
1 edition published in 2007 in French and held by 35 libraries worldwide

Graphes by Journées X-UPS ( Book )
1 edition published in 2004 in French and held by 35 libraries worldwide