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Title Details:
Compact Riemann surfaces
Authors: Kontogeorgis, Aristides
Antoniadis, Ioannis
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.
Linguistic Editors: Kalliaras, Dimitrios
Technical Editors: Kontogeorgis, Aristides
Type: Chapter
Creation Date: 2022
Item Details:
License: Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Bibliographic Citation: Kontogeorgis, A., & Antoniadis, I. (2022). Compact Riemann surfaces [Chapter]. In Kontogeorgis, A., & Antoniadis, I. 2021. Algebraic curves [Undergraduate textbook]. Kallipos, Open Academic Editions. chapter 7.
Language: Greek
Is Part of: Algebraic curves
Publication Origin: Kallipos, Open Academic Editions