Relatore:
Prof. Jan Stovicek
- Charles University Prague
lunedì 8 giugno 2020
alle ore
14.30
until 12/6/2020, see "Algebraic Geometry"
The lectures will take place
live on zoom on June 8,10,12, 2020, 14:30 - 16:30, and will cover the last part of the course "Algebraic Geometry".
Abstract:
The aim of the series of lectures is to explain projective geometry and, as an application, basic facts about the Krull dimensions of algebraic varieties.
I will discuss in detail projective spaces, (quasi-)projective varieties and the homomorphisms between these. I will explain the projective elimination theorem and its consequence - each homomorphism from a projective variety has a Zariski closed image.
Finally, I will explain the concept of Krull dimension and establish basic properties - among them proving that the affine space A^n and the projective space P^n have the expected Krull dimension n.