Short abstract:
Jacobians play a major role in the theory of
smooth algebraic curves. For singular curves their analogues are not
compact. We will present the theory of compactifications
of Jacobians of singular curves, concentrating on nodal curves. Topics
covered are: construction of compactifications, theta divisors, Abel
maps, Brill-Noether theory and Torelli theorem.
The course will consist of 8 lectures to be
held Monday 1 to Thursday 4. The first session will be held
Monday 1 at 14h00m.
Timetable:
to be defined
Location:
Departamento
de
Matemática,
Instituto
Superior
Técnico
Post
Graduation
Building