Course Catalog
MATH 525 Compact Riemann Surfaces | 3 Credits | ||||||
---|---|---|---|---|---|---|---|
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. | |||||||
|
|||||||
Prerequisite: MATH 505 - Doctorate - Min Grade D | |||||||
or MATH 505 - Masters - Min Grade D | |||||||
Corequisite: __ | |||||||
ECTS Credit: 10 ECTS (10 ECTS for students admitted before 2013-14 Academic Year) | |||||||
General Requirements: | |||||||