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Lecture
Affine Varieties and Hypersurfaces
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Dedekind Rings and Fractional Ideals
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Regularity and Geometric Meaning
Explores regularity in algebraic geometry and the geometric implications of the Jacobian criterion.