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| Title Details: | |
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Compact Riemann surfaces |
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| Authors: |
Kontogeorgis, Aristides Antoniadis, Ioannis |
| Description: | |
| Abstract: |
The notion of compact Riemann surface is introduced as well as the theory of meromorphic and holomorphic functions and differential forms on them. The relation to complex projective algebraic curves is explained as well as the Galois theory of ramified covers. Basic theorems like Riemann-Hurwitz, Riemann-Roch and Abel-Jacobi are studied.
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| Linguistic Editors: |
Kalliaras, Dimitrios |
| Technical Editors: |
Kontogeorgis, Aristides |
| Type: |
Chapter |
| Creation Date: | 02-06-2022 |
| Item Details: | |
| License: |
Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
| Handle | http://hdl.handle.net/11419/8279 |
| Bibliographic Reference: | Kontogeorgis, A., & Antoniadis, I. (2022). Compact Riemann surfaces [Chapter]. In Kontogeorgis, A., & Antoniadis, I. 2021. Algebraic Curves [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/8279 |
| Language: |
Greek |
| Is Part of: |
Algebraic Curves |
| Publication Origin: |
Kallipos, Open Academic Editions |