V IST COURSES ON ALGEBRAIC GEOMETRY


COMPACTIFICATIONS OF JACOBIANS

INSTITUTO SUPERIOR TÉCNICO, LISBON, PORTUGAL

February, 1-4, 2010



Lecturers:
Lucia Caporaso (Universit� di Roma III, Italia) and
Eduardo Esteves (IMPA, Brasil)
1-4 February, 2010
First Session: Monday, Feb 1, 14h00.

Abstract of the Course: 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. 


This  course is the fifth of a series of courses 
aimed at graduate students and researchers in the area of algebraic geometry and researchers of other areas 
(previous courses ) 













Organization:

Margarida Mendes Lopes







Sponsors:

FCT — Fundação para a Ciência e Tecnologia - Projecto PTDC/MAT/099275/2008 


IST — Instituto Superior Técnico

CAMGSD — Centro de Análise Matemática, Geometria e Sistemas Dinâmicos