Ruprecht-Karls-Universität Heidelberg
Siegel der Universität Heidelberg

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[Complex Analysis I] - [2015 Sommer]

Module Code
MG09
Name
Complex Analysis I
Credit Points
8 CP
Workload
240
Duration
1 semester
Cycle
0
Methods Lecture 4 h + Exercise course 2 h
Objectives Basic knowledge about complex spaces
Content • Local theory of complex spaces: differential forms, Hodge decomposition, Dolbeault theory • Basic facts about complex functions of several variables: analytic functions, Cousin problem, local rings of analytic functions, Oka\'s lemma, Weierstraß preparation theorem • Abelian functions
Learning outcomes Ability to solve problems about complex spaces and several complex variables and to present these solutions in problem sessions
Prerequisites
Suggested previous knowledge Complex Functions I+II (MB3+MB4)
Assessments Homework, assignments, written or oral exam. Modalities for make-up exams to be determined by the lecturer
Literature E. Freitag: Funktionentheorie 2
R. Gunning, H. Rossi: Analytic Functions on Several Complex Variables
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