Ponencia
How large is a Riemann surface: the type problem
Autor/es | Drasin, David |
Coordinador/Director | Montes Rodríguez, Alfonso |
Fecha de publicación | 2005 |
Fecha de depósito | 2017-06-21 |
Publicado en |
|
ISBN/ISSN | 9788447210244 |
Resumen | The uniformization theorem asserts that a simply-connected non-compact Riemann surface S is conformally equivalent to precisely one of the unit disk D or the finite complex plane C. While this result (nearly a century old) ... The uniformization theorem asserts that a simply-connected non-compact Riemann surface S is conformally equivalent to precisely one of the unit disk D or the finite complex plane C. While this result (nearly a century old) closes one chapter in the theory of analytic functions of one complex variable, it opens another: given a surface S described in some explicit manner, determine from intrinsic considerations which of the conformal types S is. While this subject reached a zenith of activity in the 1930s, recent developments and the availability of new tools suggest a resurgence of interest. |
Cita | Drasin, D. (2005). How large is a Riemann surface: the type problem. En First Advanced Course in Operator Theory and Complex Analysis (27-36), Sevilla: Editorial Universidad de Sevilla. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
How large is a Riemann surface ... | 199.6Kb | [PDF] | Ver/ | |