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In this book, the authors geometrically construct Riemann surfaces of infinite genus by pasting together plane domains and handles. To achieve a meaningful generalization of the classical theory of Riemann surfaces to the case of infinite genus, one must impose restrictions on the asymptotic behavior of the Riemann surface. In the construction carried out here, these restrictions are formulated in terms of the sizes and locations of the handles and in terms of the gluing
maps.
maps.
- Format: Inbunden
- ISBN: 9780821833575
- Språk: Engelska
- Antal sidor: 296
- Utgivningsdatum: 2003-07-01
- Förlag: American Mathematical Society