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Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I: Generic Covers and Covers with Many Branch Points
Language: en
Pages: 142
Authors: Robert M. Guralnick
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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Considers indecomposable degree $n$ covers of Riemann surfaces with monodromy group an alternating or symmetric group of degree $d$. The authors show that if th
Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I
Language: en
Pages: 142
Authors: R. Guralnick
Categories: MATHEMATICS
Type: BOOK - Published: 2014-09-11 - Publisher: American Mathematical Society(RI)

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Considers indecomposable degree $n$ covers of Riemann surfaces with monodromy group an alternating or symmetric group of degree $d$. The authors show that if th
Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces
Language: en
Pages: 86
Authors: William Mark Goldman
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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This expository article details the theory of rank one Higgs bundles over a closed Riemann surface $X$ and their relation to representations of the fundamental
Computational Algebraic and Analytic Geometry
Language: en
Pages: 242
Authors: Mika Seppälä
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

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This volume contains the proceedings of three AMS Special Sessions on Computational Algebraic and Analytic Geometry for Low-Dimensional Varieties held January 8
Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings
Language: en
Pages: 218
Authors: Wolfgang Bertram
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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The aim of this work is to lay the foundations of differential geometry and Lie theory over the general class of topological base fields and -rings for which a