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MA 726 Algebraic Geometry

²Ñ´¡Ìý726ÌýÌýAlgebraic GeometryÌýÌý(3 credit hours)ÌýÌý

Abstract theory of solutions of systems of polynomial equations. Topics covered: ideals and affine varieties, the Nullstellensatz, irreducible varieties and primary decomposition, morphisms and rational maps, computational aspects including Groebner bases and elimination theory, projective varieties and homogeneous ideals, Grassmannians, graded modules, the Hilbert function, Bezout's theorem.

Prerequisite: ²Ñ´¡Ìý521

Typically offered in Spring only