Field of Rational Functions

Related lectures (32)

Page 3 of 4

Explores primary decomposition, recovering rings from spectra, and studying regular functions on spectra.

Explores the discrete log problem and index calculus method in cryptography.

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

Covers homomorphisms between affine varieties, birational maps, regular groups, and connectedness.

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

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

Explores the relationships between tangent spaces, dimensions, and sub-varieties in algebraic geometry.

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

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

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