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Last update: doc. RNDr. Roman Lávička, Ph.D. (13.09.2013)
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Last update: doc. RNDr. Petr Somberg, Ph.D. (28.10.2019)
Basic aspects (algebraic, function theoretic, geometric and topological) of Riemann surfaces. |
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Last update: doc. RNDr. Roman Lávička, Ph.D. (23.06.2021)
Students should pass an examination.
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Last update: doc. RNDr. Svatopluk Krýsl, Ph.D. (13.10.2017)
Bost, J., From Number theory to Physics, Springer, 2010. Forster, O., Lectures on Riemann surfaces, Springer-Verlag, Berlin, 1985. Černý, I., Foundation of analysis in complex domain, Academia, 1997. Narsimhan, R., Compact Riemann surfaces |
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Last update: doc. RNDr. Svatopluk Krýsl, Ph.D. (13.10.2017)
Lectures based on literature available. |
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Last update: doc. RNDr. Roman Lávička, Ph.D. (23.06.2021)
Requirements to the exam correspond to the syllabus to the extent to which topics were covered during the course. |
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Last update: doc. RNDr. Roman Lávička, Ph.D. (13.09.2013)
Definition and examples of Riemann surfaces.
Holomorphic maps between Riemann surfaces. Meromorphic functions.
Riemann-Hurwitz theorem.
Elliptic functions. The Weierstrass p-function. Jacobi theta functions.
Classification of Riemann surfaces (Uniformization theorem).
Riemann-Roch theorem. |
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Last update: doc. RNDr. Svatopluk Krýsl, Ph.D. (13.10.2017)
Basics on complex variable functions (inclusive definition of Laurent polynomial of a holomorphic function). |