*Ma 131* - Algebraic geometry of curves; Winter 2005

### Instructor: Danny Calegari

### MW 10-11:30; 257 Sloan

### Grading policy:

to be determined

### Description of course:

This course will be an introduction to Algebraic Geometry,
focussing on the geometry of curves.

### Topics to be covered (if time allows):

- Affine and Projective plane curves
- Bezout's theorem
- Points of inflection
- Multiplication law on an elliptic curve
- Riemann-Hurwitz formula
- Riemann-Roch

### References:

- Kirwan, F
*Complex algebraic curves*, LMS student texts, 23 Cambridge University Press, (1992)
- Hartshorne, R
*Algebraic geometry*, Springer-Verlag GTM 52 Springer-Verlag, (1977)
- Kepmf, G