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