Affine varieties: additional observations

Related lectures (31)

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

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

Explores affine algebraic varieties, emphasizing the Zariski Topology and regular functions.

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

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.

Covers the properties of the coordinate ring of a linearly reductive group.

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

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

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

Explores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.