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Università degli Studi di Parma Università degli Studi di Parma
Second cycle degree course in
Mathematics
Università degli Studi di Parma
Department of Mathematical, Physical and Computer Sciences

ADVANCED GEOMETRY 2
cod. 23013

Academic year 2017/18
1° year of course - First semester
Professor
Academic discipline
Geometria (MAT/03)
Field
Attività formative affini o integrative
Type of training activity
Related/supplementary
48 hours
of face-to-face activities
6 credits
hub: PARMA
course unit
in ITALIAN
lectures timetable unavailable
exam calls
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Learning objectives

Learn advanced notions of complex analysis and geometry.
Deal with open problems.

Prerequisites

Holomorphic functions of one and several complex variables.
Dolbeault cohomology.

Course unit content

Holomorphic functions of several variables. Kobayashi and Caratheodory metrics. Algebras of holomorphic functions. Extension problems and the boundary problem.

Full programme

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Bibliography

Della Sala, Saracco, Simioniuc, Tomassini: Lectures on complex and analytic geometry, Edizioni della Normale 2006.
Abate: Iteration theory of holomorphic maps on taut manifolds, Mediterranean Press 1989.
Saracco: Extension problems in complex and CR geometry, Edizioni della Normale 2008.

Teaching methods

Standard blackboard lectures.

Assessment methods and criteria

Final exam will be an expository talk on a subject assigned by the theacher.

Other information

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