Complex Geometry(FIRST PART)
A.Y. 2018/2019
Learning objectives
Learn some basic tools and methods in the theory of Riemann surfaces.
Expected learning outcomes
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.
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Responsible
Lesson period
Second semester
Course 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.
· Maps between Riemann surfaces, the Riemann-Hurwitz theorem.
· Algebraic curves and their holomorphic 1-forms.
· The Riemann Roch theorem, embeddings and projective models.
MAT/03 - GEOMETRY - University credits: 6
Lessons: 42 hours
Professors:
Colombo Elisabetta, Van Geemen Lambertus
Professor(s)
Reception:
friday.8.45-11.45
Office2101, second floor, via C. Saldini 50