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MATH 525 Compact Riemann Surfaces Select Term:
The following topics will be covered: introductory notions, cohomology groups, Dolbeault’s Lemma, Finiteness Theorem, exact cohomology sequences, Riemann-Roch Theorem, Serre Duality Theorem, functions and forms with prescribed principal parts, Abel’s Theorem, Jacobi’s Inversion Problem.
SU Credits : 3
ECTS Credit : 10
Prerequisite : Doctorate MATH 505 Minimum Grade of D OR Masters Level MATH 505 Minimum Grade of D
Corequisite : -