## CIMAT Lectures## Minicourse on computation in agebraic geometrySpring 2008## References- Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra by David Cox, John Little, and Donal O'Shea sagemath.org
## Lecture Notes- Programming in Python and Sage
- Lecture 1 Division algorithm, Groebner basis, monomial ideals , Hilbert functions and dimension
- Lecture 2 Hilbert functions and dimension
- Lecture 3 Elimination theory, lines on a cubic surface
## Sage code- Compute the roots of polynomial in GF(q)
- Division algorithm and Buchberger's algorithm
- Compute lines on cubic surface
- Elsenhans-Jahnel algorithm for determining whether the action of the Galois group on the lines is W(E6).
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