Adjunctions and Applications

Related lectures (31)

Page 3 of 4

Introduces ample invertible sheaves and their properties in algebraic geometry.

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

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

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

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

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

Covers the concept of locally Noetherian schemes in algebraic geometry.

Explores regular functions on quasi-affine varieties, defining morphisms, local rings, and rational functions.

Explores Albanese varieties, Fourier-Mukai transforms, and positive characteristic applications.

Explores the relationship between tangent spaces and dimension in algebraic geometry.