Algebraic Surfaces

Academic year 2025/2026
Lecturer Angelo Vistoli

Examination procedure

<p>Oral exam</p>

Prerequisites

The content of the courses "Scheme Theory I" e "Scheme Theory II".

Master program, PhD program.

Syllabus

  • Smooth projective surfaces
  • DIvisors, intersection numbers
  • Hodge index theorem
  • Riemann-Roch
  • Blow-ups, rational maps
  • Ruled surfaces
  • Canonical maps
  • Kodaira dimension
  • Enriques classification


Bibliographical references

  • Robin Hartshorne, Algebraic Geometry, Springer Verlag
  • Lucian Bădescu, Algebraic Surfaces, Springer Verlag
  • Arnaud Beauville, Complex Algebraic Surfaces, Cambridge University Press