Calendar

Schemes (based on reference n. 1)
  • Monday 22.08
    • Affine schemes: 5.1 (Michela)
    • Morphisms and schemes: 5.2, 5.3 (Antonio)
  • Friday 26.08
    • Fiber products: 5.4 (Antonio)
    • Projective schemes: 5.5 (Michela)


Deformation Theory (based on reference n. 2)
  • Monday 29.08
    • Introduction to Deformation Theory: pag. 1 - 6 (Antonio)
    • Generalities about extensions: 1.1.1 (Michela)
  • Friday 02.09
    • The Module ExtA(R,I): 1.1.2 (Xavier)
    • Extensions of schemes: 1.1.3 (Andrea)
  • Monday 05.09
    • Generalities on deformations: 1.2.1 (Saúl)
    • Infinitesimal deformations of non singular affine schemes: 1.2.2 (Marianela)
  • Friday 09.09
    • Extending automorphisms of deformations: 1.2.3 (Manuel)
    • First order locally trivial deformations: 1.2.4 (Andrea)
  • Monday 12.09
    • Higher order deformations - Obstructions: 1.2.5 (Antonio)
Class hours
  • Monday: 10:00 - 12:00 (sala de postgrado)
  • Friday: 10:00 - 12:00 (sala de postgrado)

References
  1. Schemes: class notes on Algebraic Geometry, Chapter 5, by Andreas Gathmann
  2. Deformation Theory: Deformations of Algebraic Schemes, by Edoardo Sernesi

Exercise of the week