MAT 4154 Introduction to Algebraic Geometry
3 units
Mathematics
Faculty of Science
Brief overview of commutative algebra, Hilbert's Nullstellensatz, algebraic sets, and Zariski topology. Affine and projective varieties over algebraically closed fields. Regular functions and rational maps. Additional topics chosen from: the relation of varieties over complex numbers to complex analytic manifolds, genus, divisors, line bundles, Riemann-Roch Theorem, Bézout's Theorem.
Components:
Lecture
Requirements:
Prerequisite: MAT 3143 .
Previously Offered Terms:
Winter
French Equivalent: