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Topics in the theory of Riemann surfaces
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 automorph...
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Lenguaje: | eng |
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Springer
1994
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Acceso en línea: | https://dx.doi.org/10.1007/BFb0073575 http://cds.cern.ch/record/1691611 |
_version_ | 1780935791098200064 |
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author | Accola, Robert D M |
author_facet | Accola, Robert D M |
author_sort | Accola, Robert D M |
collection | CERN |
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. |
id | cern-1691611 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1994 |
publisher | Springer |
record_format | invenio |
spelling | cern-16916112021-04-21T21:08:32Zdoi:10.1007/BFb0073575http://cds.cern.ch/record/1691611engAccola, Robert D MTopics in the theory of Riemann surfacesMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:16916111994 |
spellingShingle | Mathematical Physics and Mathematics Accola, Robert D M Topics in the theory of Riemann surfaces |
title | Topics in the theory of Riemann surfaces |
title_full | Topics in the theory of Riemann surfaces |
title_fullStr | Topics in the theory of Riemann surfaces |
title_full_unstemmed | Topics in the theory of Riemann surfaces |
title_short | Topics in the theory of Riemann surfaces |
title_sort | topics in the theory of riemann surfaces |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/BFb0073575 http://cds.cern.ch/record/1691611 |
work_keys_str_mv | AT accolarobertdm topicsinthetheoryofriemannsurfaces |