Projective Space and Algebraic Sets

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Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.

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

Explores irreducible algebraic sets and their unique decomposition into components, with a focus on prime ideals and plane subsets classification.

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

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

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

Explores projective algebraic sets, prime ideals, irreducible sets, cones, and Nullstellensatz theorem.

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

Covers algebraic subsets of A^1 and ideals with a finite set of points.

Covers the study of projective varieties and their relation to compact manifolds.