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Topics in the Theory of Riemann Surfaces

Topics in the Theory of Riemann Surfaces
Catalogue Information
Field name Details
Dewey Class 516.35
Title Topics in the Theory of Riemann Surfaces ([EBook] /) / by Robert D. M. Accola.
Author Accola, Robert D. M.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details X, 110 p. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1595
ISBN 9783540490562
Summary Note 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 note 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).
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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