0. Woffle Chapter I. Playing with plane curves 1. Plane conics 2. Cubics and the group law Appendix to Chapter I. Curves and their genus Chapter II. The category of affine varieties 3. Affine varieties and the Nullstellensatz 4. Functions on varieties Chapter Iii. Applications 5. Projective varieties and birationai equivalence 6. Tangent space and nonsingularity, dimension 7. The 27 lines on a cubic surface 8. Final comments Index
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