The book for the course is “Algebraic Geometry. A first course”, by Joe Harris, published by Springer in the Graduate Texts in Mathematics series.

Here is the plan of the course:

1. 9/4-9/9             Affine and projective varieties, examples
2. 9/11-9/18         Maps between affine and projective varieties
3. 9/23                 Cones and projections
4. 9/23                 Cones and projections
5. 9/25-9/30         Ideals of varieties, irreducibility
6. 10/2-10/7         Families and parameter spaces
7. 10/2-10/7         Families and parameter spaces
8. 10/9                 Grasmannians
9. 10/14-10/23     Rational maps
10. 10/28-11/4       Dimension of projective varieties
11. 11/6-11/11        Hilbert polynomials
12. 11/13-11/18     Tangent spaces
13. 11/20-12/4       Degree of a variety, Bezout’s theorem