Modern Algebraic Geometry

Related lectures (31)

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Covers the definitions and properties of projective algebraic sets and their applications in algebraic geometry.

Introduces affine varieties and covers morphisms between them and their coordinate rings.

Covers modern algebraic geometry, focusing on schemes and affine schemes, including a review of classical algebraic geometry and Bézout's theorem.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores affine varieties, hypersurfaces, dimension in algebraic geometry, minimal prime ideals, and local properties of plane curves.

Explores morphisms, regularity, varieties, local rings, and evaluation morphism in algebraic geometry.

Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.

Introduces projective space and algebraic sets, discussing homogeneous coordinates, ideals, and generators.

Covers adjunctions, projective varieties, regularity, and valuative criteria in algebraic geometry.

Explores homogeneous ideals, regular rings, N-graded rings, and closed sets in projective geometry.