Affine/projective varieties, Hilbert's Nullstellensatz, morphisms of varieties, rational maps, dimension, singular/nonsingular points, blowing up of varieties, tangent spaces, divisors, differentials Riemann-Roch theorem. Special topics may include: elliptic curves, intersection numbers,Bezout's theorem, Max Noether's theorem.

Prerequisites: Mathematics 220A-B-C.

4

Units

Optional

Grading

1, 2, 3

Passtime

None

Level Limit

Letters and science

College
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