Automorphisms of Projective Varieties

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Covers invariants and dimensions of projective varieties, emphasizing their importance.

Explores the complement problem for hypersurfaces in projective spaces and discusses isomorphism based on their complements.

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

Explores group actions on varieties, including orbits, stabilizers, and G-invariant morphisms.

Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.

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

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

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

Covers bijections between automorphisms and equivariant bijections in group isomorphisms.

Covers the main concepts behind RSA encryption and examples of homomorphisms between cyclic groups.