Inoltro avviso relativo al corso in oggetto.
Rita
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Prof. Alessio Corti from Imperial College, London, will teach a course
dal titolo "Topics on Algebraic Surfaces". The first class will take
place on Monday, October 2, at 11am in Aula Fermi, and will continue
with the following schedule:
Monday and Wednesday from 11am to 1pm, aula Fermi.
The description of the course is as follows.
This is a foundation course on the theory of algebraic surfaces from a
point of view inspired by higher dimensions.
The key theorems will be proved, but the main emphasis will be on
methods for constructing and working with concrete
examples of surfaces. At the minimum the course will cover the following
topics:
• Review of Riemann-Roch for curves and elements of special divisors;
• The Riemann-Roch theorem for surfaces;
• Characterization of rational surfaces (theorem of Noether-Castelnuovo);
• Examples of surfaces: del Pezzo surfaces, scrolls, K3 surfaces,
elliptic surfaces, and surfaces of general type;
• Canonical singularities of surfaces, minimal models and canonical
models of surfaces;
• Introduction to the Enriques-Kodaira classification of surfaces.
Ideally, students will have attended a first course in algebraic
geometry, comprising the basics of coherent sheaves and cohomology.
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