The Monodromy Group

The Monodromy Group
Author: Henryk Zoladek
Publisher: Springer Science & Business Media
Total Pages: 589
Release: 2006-08-10
Genre: Mathematics
ISBN: 3764375361
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In singularity theory and algebraic geometry, the monodromy group 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. There is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. In covering these and other topics, this book underlines the unifying role of the monogropy group.


The Monodromy Group
Language: en
Pages: 589

The Monodromy Group

Authors: Henryk Zoladek
Categories: Mathematics
Type: BOOK - Published: 2006-08-10 - Publisher: Springer Science & Business Media

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In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has application
Self-Similar Groups
Language: en
Pages: 248

Self-Similar Groups

Authors: Volodymyr Nekrashevych
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

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Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial t
Gauss Sums, Kloosterman Sums, and Monodromy Groups
Language: en
Pages: 262

Gauss Sums, Kloosterman Sums, and Monodromy Groups

Authors: Nicholas M. Katz
Categories: Mathematics
Type: BOOK - Published: 1988 - Publisher: Princeton University Press

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The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebr
Galois Groups and Fundamental Groups
Language: en
Pages: 281

Galois Groups and Fundamental Groups

Authors: Tamás Szamuely
Categories: Mathematics
Type: BOOK - Published: 2009-07-16 - Publisher: Cambridge University Press

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Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.
Algebraic Groups and Differential Galois Theory
Language: en
Pages: 242

Algebraic Groups and Differential Galois Theory

Authors: Teresa Crespo
Categories: Computers
Type: BOOK - Published: 2011 - Publisher: American Mathematical Soc.

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Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general theories, computational