Projective Varieties: Invariants and Dimensions

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Covers the GAGA principle, stating that any morphism on projective varieties is constant.

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

Explores automorphisms of projective varieties, discussing isomorphism between complements and key observations on dimensions and examples.

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

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

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

Introduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.

Explores regularity in algebraic geometry and the geometric implications of the Jacobian criterion.

Explores the embedding of chi-varieties into vector spaces with linear actions.

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