Affine varieties, sheaves of functions, the Nullstellensatz, plane curves and singularities, dimension, projective varieties, morphisms of varieties, properness, theorems on upper-semicontinuity, Grassmannians, tangent spaces, blowups, vector and line bundles. Three term hours; lectures. (3.0 credit units)
Affine varieties, sheaves of functions, the Nullstellensatz, plane curves and singularities, dimension, projective varieties, morphisms of varieties, properness, theorems on upper-semicontinuity, Grassmannians, tangent spaces, blowups, vector and line bundles. Three term hours; lectures. (3.0 credit units)
