Lecture Notes in Mathematics

By: Robert D.M. Accola

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Paperback | 16 December 1994

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120 Pages

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23.5 x 15.24 x 0.64

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The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus. In addition, the extent to which fixed points of automorphisms are generalized Weierstrass points is considered. The extremely useful inequality of Castelnuovo- Severi is also treated. While the methods are elementary, much of the material does not appear in the current texts on Riemann surfaces, algebraic curves. The book is accessible to a reader who has had an introductory course on the theory of Riemann surfaces or algebraic curves.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Geometry Algebraic Geometry Groups & Group Theory Differential & Riemannian Geometry Algebra

Preface
Review of basic concepts	p. 1
Some exceptional points on Riemann surfaces	p. 13
The inequality of Castelnuovo-Severi	p. 20
Smooth and branched coverings of Riemann surfaces	p. 30
Automorphisms of Riemann surfaces, I	p. 42
When are fixed points of automorphisms exceptional in some other sense?	p. 52
Automorphisms of Riemann surfaces, II; N(p)	p. 74
References	p. 99
Index	p. 102
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Mathematics

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Paperback

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