Course Archives Theoretical Statistics and Mathematics Unit
Course: Compact Riemann Surfaces
Level: Postgraduate
Time: Currently not offered
Syllabus
Past Exams


Syllabus : Riemann surfaces, holomorphic and meromorphic functions, holomorphic maps, coverings, projective space and complex projective curves, tori and hyperelliptic curves, differential forms, sheaves and cohomology, Poincare and Dolbeault lemmas, finiteness theorems, divisors, Riemann-Roch Theorem

Suggested Texts :
1. Rick Miranda, Algebraic curves and Riemann surfaces, AMS (GSM 5), 1995.
2. Otto Forster, Lectures on Riemann surfaces, Springer Verlag (GTM 81), 1981.
3. Raghavan Narasimhan, Compact Riemann surfaces, Birkhauser, 1992.

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Past Exams
Midterm
19.pdf
Semestral
19.pdf
Supplementary and Back Paper
19.pdf

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