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Introduction to Algebraic Geometry

Faculty of ScienceMathematics
Credits4
·
Semester offeredSemester 1 (Fall), Semester 2 (Winter)
·
Last updated3 months ago

Description

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 and linear systems. Projective curves.

Course outline
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MATH518 has possible credit equivalents including MATH5143 at The Hong Kong University of Science and Technology.

CourseUniversityQwest Score
MATH5143
Introduction to Lie Algebras
The Hong Kong University of Science and Technology74
MATH 774
Lie Algebras
University of North Carolina at Chapel Hill73
MATH11120
Algebraic Geometry
The University of Edinburgh73
MA3201
Algebra II
National University of Singapore73
MATH5143
Introduction to Lie Algebras
The Hong Kong University of Science and Technology74