Topics in the Theory of Riemann Surfaces, PDF eBook

Topics in the Theory of Riemann Surfaces PDF

Part of the Lecture Notes in Mathematics series

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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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