Mathematics | University of Parma

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 - - -

lectures timetable unavailable

exam calls

Learning objectives

Learn basic notions on complex analysis in several variables.

Prerequisites

Holomorphic functions of one complex variable.

Course unit content

Holomorphic functions of several variables. Stein spaces. Sheaf theory and sheaf cohomology.

Full programme

Holomorphic functions of several variables (Hartogs' Teorem, Weierstrass' Theorems, Riemann' extension Theorem, Nullstellensatz). Sheaf theory and sheaf cohomology (rudiments of homological algebra, abstract de Rham Theorem, de Rham and Dolbeault Theorems). Stein spaces.

Bibliography

Giuseppe Della Sala, Alberto Saracco, Alexandru Simioniuc and Giuseppe Tomassini, Lectures on complex analysis and analytic geometry, Appunti. Scuola Normale Superiore di Pisa (Nuova Serie) [Lecture Notes. Scuola Normale Superiore di Pisa (New Series)] 3, Edizioni della Normale, Pisa (2006), xx+430.

Teaching methods

Standard blackboard lectures.

Assessment methods and criteria

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

Other information

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ADVANCED GEOMETRY 2 cod. 23013