- Enseignant-e: Thomas Blomme
- Enseignant-e: Grigory Mikhalkin
- Enseignant-e: Antoine Toussaint
Objectifs.
Introduction to basic language and techniques of Algebraic Geometry.
Contenu.
Bringing together the language and basic notions of algebra (fields, rings, modules et al.) and the language and basic notions of geometry (points, curves, functions, varieties, bundles et al.); algebraic geometry in the projective space: Zariski topology, quasiprojective varieties, dimension, local studies, divisors, differential forms.
Références.
I.R. Shafarevitch. Discourses on Algebra.Springer, 2003.
I.R. Shafarevitch. Basic Algebraic Geometry 1:Varieties in projective space. Springer, 2013.