MATH 431 Introduction to Algebraic Geometry

Plane curves, conics and cubics. Affine varieties, Hilbert basis theorem, Zarisky topology, Hibert's null stellennsatz. Coordinate rings, morphisms. Projective varieties, briational morphism. Smoothness, dimension and the tangent space. The 27 lines on a cubic surface. Credit units: 3 ECTS Credit units: 6, Prerequisite: MATH 324 and MATH 345.

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