Topics in the Theory of Riemann Surfaces / by Robert D. M. Accola.

Format:

• Book

Author/Creator:

• Accola, Robert D. M., 1929- author.

Contributor:

• SpringerLink (Online service)

Series:

• Lecture Notes in Mathematics, 0075-8434 ; 1595.
• Lecture Notes in Mathematics, 0075-8434 ; 1595

Language:

English

Subjects (All):

• Geometry, Algebraic.
• Group theory.
• Algebraic Geometry.
• Group Theory and Generalizations.

Local Subjects:

• Algebraic Geometry.
• Group Theory and Generalizations.

Physical Description:

1 online resource (X, 110 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994.

System Details:

text file PDF

Summary:

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.

Contents:

• Review of some basic concepts in the theory of Riemann surfaces
• Some exceptional points on Riemann surfaces
• The inequality of Castelnuovo-Severi
• Smooth and branched coverings of Riemann surfaces
• Automorphisms of Riemann surfaces, I
• When are fixed points of automorphisms exceptional in some other sense?
• Automorphisms of Riemann surfaces, II; N(p).

Other Format:

Printed edition:

ISBN:

9783540490562

Access Restriction:

Restricted for use by site license.