Sumários
Not Taught.
11 Março 2020, 10:30 • Davide Masoero
Due to the Covid19 outbreak the class was canceled
Algebraic curves, and their normalisation
4 Março 2020, 10:30 • Davide Masoero
The projective space CP²
Compactification of an affine plane curve in CP^2
Normalisation of an affine plane curve
The normalisation of the hyper-elliptic curves
References: Donaldon 3.2 and 4.2.3
Proper mappings and Riemann Existence Theorem
26 Fevereiro 2020, 10:30 • Davide Masoero
Section 4.1 of Donaldson book: local behaviour of map between Riemann surfaces, degree, proper maps, monodromy representation, Riemann existence theorem, Riemann-Hurwitz formula
Basic theory
19 Fevereiro 2020, 10:30 • Davide Masoero
Implicit function theorem in the holomorphic category
Sqrt(P(z)), with P a polynomial, as a single valued function in the cut plane
Definition of Riemann surfaces, first examples
Classification of orientable surfaces
The Riemann surface of an affine smooth planar curve