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The Monodromy Group

Posted on 2010-04-21




Name:The Monodromy Group
ASIN/ISBN:3764375353
File size:40.4 Mb
Publisher: Birkhäuser Basel
ISBN: 3764375353
Publish Date: edition 2006
File Type: PDF
Pages: 580 pages
File Size: 40,4 mb
   The Monodromy Group

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In singularity theory and algebraic geometry is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. In the theory of systems of linear differential equations one has the Riemann-Hilbert problem, the Stokes phenomena and the hypergeometric functions with their multidimensional generalizations. In the theory of homomorphic foliations there appear the Ecalle-Voronin-Martinet-Ramis moduli. On the other hand, there is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. All this is presented in this book, underlining the unifying role of .

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