Group schemes

Period of duration of course
‌‌
Course info
Number of course hours
40
Number of hours of lecturers of reference
40
Number of hours of supplementary teaching
0
CFU 6
‌‌

Type of exam

Oral exam

Lecturer

View lecturer details

Prerequisites

Requires basic notions of scheme theory. For PhD and Master students.

Programme

• The functorial point of view in algebraic geometry.

• Affine group schemes over a field. Hopf algebras.

• Homomorphisms. Faithful flatness.

• Representations. Existence of faithful representations.

• Descent theory.

• Existence of quotients.

• Group schemes of multiplicative type.

• Unipotent group schemes.

• Solvable group schemes.

Educational aims

Teaching the theory of group schemes.