Algebraic Surfaces

Lecture log

Academic year 2025/2026
Lecturer Angelo Vistoli

Lecture

  • 19 Feb 2026 (2h 00m)

    ANGELO Vistoli - Course (teaching activity) - Face to face

    Picard groups and class groups

  • 20 Feb 2026 (2h 00m)

    ANGELO Vistoli - Course (teaching activity) - Face to face

    Relative Proj and relative Spec. Projectivization of a locally free sheaf. Base change theorem.

  • 26 Feb 2026 (2h 00m)

    ANGELO Vistoli - Course (teaching activity) - Face to face

    Properties of the normalization

  • 27 Feb 2026 (2h 00m)

    ANGELO Vistoli - Course (teaching activity) - Face to face

    Arithmetic genus of a singular curve. Intersection numbers of divisors on a smooth projective surface. Examples.

  • 05 Mar 2026 (2h 00m)

    ANGELO Vistoli - Course (teaching activity) - Face to face

    Riemann-Roch and the adjunction formula

  • 06 Mar 2026 (2h 00m)

    ANGELO Vistoli - Course (teaching activity) - Face to face

    Blow-ups. Examples.

  • 12 Mar 2026 (2h 00m)

    ANGELO Vistoli - Course (teaching activity) - Face to face

    Blow-up of a smooth variety. Proper transforms.

  • 13 Mar 2026 (2h 00m)

    ANGELO Vistoli - Course (teaching activity) - Face to face

    Hizebruch surfaces as blow-up of the vertex of a cone. Projection formula. Contraction of a curve. Hironaka's example.

  • 18 Mar 2026 (2h 00m)

    ANGELO Vistoli - Course (teaching activity) - Face to face

    Castelnuovo's theorem. Examples.

  • 19 Mar 2026 (2h 00m)

    ANGELO Vistoli - Course (teaching activity) - Face to face

    Zariski's theorem on formal functions. The proof of Castenuovo's theorem. A_n singularities.