02811nam 2200613 450 99646637320331620220821082509.03-540-49056-610.1007/BFb0073575(CKB)1000000000437194(SSID)ssj0000327309(PQKBManifestationID)12124526(PQKBTitleCode)TC0000327309(PQKBWorkID)10301431(PQKB)10142986(DE-He213)978-3-540-49056-2(MiAaPQ)EBC5592787(Au-PeEL)EBL5592787(OCoLC)1066185728(MiAaPQ)EBC6819282(Au-PeEL)EBL6819282(OCoLC)1287136432(PPN)155203282(EXLCZ)99100000000043719420220821d1994 uy 0engurnn|008mamaatxtccrTopics in the theory of Riemann surfaces /Robert D. M. Accola1st ed. 1994.Berlin :Springer,[1994]©19941 online resource (X, 110 p.) Lecture Notes in Mathematics ;1595Bibliographic Level Mode of Issuance: Monograph3-540-58721-7 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.Lecture notes in mathematics (Springer-Verlag) ;1595.Geometry, AlgebraicRiemann surfacesGeometry, Algebraic.Riemann surfaces.516.35Accola Robert D. M.1929-54200MiAaPQMiAaPQMiAaPQBOOK996466373203316Topics in the theory of Riemann surfaces262453UNISA