Complex geometry(first part)

A.Y. 2018/2019
Lesson for
6
Max ECTS
42
Overall hours
SSD
MAT/03
Language
Italian
Learning objectives
Learn some basic tools and methods in the theory of Riemann surfaces.
Students will learn some basic tools and results in the theory of Riemann surfaces including maps between Riemann surfaces, ramified coverings, the Riemann Roch theorem and the canonical model of a Riemann surface.

Course structure and Syllabus

Active edition
Yes
Responsible
MAT/03 - GEOMETRY - University credits: 6
Lessons: 42 hours
Syllabus
· Riemann surfaces: topology and de Rham cohomology.
· Maps between Riemann surfaces, the Riemann-Hurwitz theorem.
· Algebraic curves and their holomorphic 1-forms.
· The Riemann Roch theorem, embeddings and projective models.
Lesson period
Second semester
Lesson period
Second semester
Assessment methods
Esame
Assessment result
voto verbalizzato in trentesimi
Educational website(s)
Professor(s)
Reception:
friday.8.45-11.45
Office2101, second floor, via C. Saldini 50