ENGLISH

Topics in the Theory of Riemann Surfaces

Book information

Year
2008
Language
english
Format
DJVU
Filesize
521 kB (533386 bytes)
Pages
119\119
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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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