9/19

Complex tori


Homomorphisms of complex tori

9/21 
Cohomology of complex tori 

Review of complex geometry 
9/26 
The Hodge decomposition


Line bundles on complex tori

9/28 
Chern classes of line bundles


The AppellHumbert theorem

10/3 
The dual complex torus


The Poincaree bundle

10/5 
Theta functions


Cohomology of line bundles,
RiemannRoch

10/10 
Abelian varieties, polarizations


The Riemann relations

10/12 
The decomposition theorem


Gauss map

10/17 
Projective embeddings


Kummer varieties

10/19 
Morphisms to abelian varieties


Pontryagin product

10/24 
Tangent cones to analytic spaces

10/26 
Jacobians


Abel map

10/31 
Varieties of special linear
series

11/7

The geometric theory of
Riemann's theta function

11/9

Torelli Theorem

11/14

Kempf's Theorem

11/16

Theory of Andreotti and Mayer

11/21

Criterion of MatsusakaRan

11/28

Trisecants to the Kummer variety

12/5

Results of Kollar and
EinLazarsfeld on the singular locus of a theta divisor

12/7

Intermediate Jacobians 

Prym Varieties
