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＜E-Book＞
Topics in the Theory of Riemann Surfaces / by Robert D.M. Accola
(Lecture Notes in Mathematics. ISSN:16179692 ; 1595)

Edition	1st ed. 1994.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1994
Size	X, 110 p : online resource
Authors	*Accola, Robert D.M author SpringerLink (Online service)
Subjects	LCSH:Algebraic geometry LCSH:Group theory FREE:Algebraic Geometry FREE:Group Theory and Generalizations
Notes	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) 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 HTTP:URL=https://doi.org/10.1007/BFb0073575

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