By Zoladek H.
In singularity thought and algebraic geometry the monodromy team is embodied within the Picard-Lefschetz formulation and the Picard-Fuchs equations. It has functions within the weakened sixteenth Hilbert challenge and in combined Hodge constructions. within the thought of platforms of linear differential equations one has the Riemann-Hilbert challenge, the Stokes phenomena and the hypergeometric features with their multidimensional generalizations. within the concept of homomorphic foliations there look the Ecalle-Voronin-Martinet-Ramis moduli. however, there's a deep connection of monodromy conception with Galois concept of differential equations and algebraic features. All this can be offered during this publication, underlining the unifying function of the monodromy group.The fabric is addressed to a large viewers, starting from experts within the thought of standard differential equations to algebraic geometers. The booklet includes a lot of effects that are often unfold in lots of assets. Readers can quick get brought to fashionable and important mathematical theories, akin to singularity thought, analytic thought of normal differential equations, holomorphic foliations, Galois idea, and components of algebraic geometry, with out looking out in mammoth literature.
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