MATH 518 Introduction to Algebraic Geometry

4 credits · Mathematics and Statistics · Faculty of Science · Not scheduled for 2026–2027

Affine varieties. Radical ideals and Hilbert's Nullstellensatz. The Zariski topology. Irreducible decomposition. Dimension. Tangent spaces, smoothness and singularities. Projective spaces and projective varieties. Regular functions and morphisms. Rational maps and indeterminacy. Blowing up. Divisors…

Prerequisites

MATH 456 or permission of the instructor. 1. Some familiarity with rings, ideals, and multivariable calculus is expected.

Prerequisite courses: MATH 456

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