Projective Varieties: Invariants and Dimensions

Related lectures (31)

Page 3 of 4

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

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

Explores the concept of variety defined as the closure of VCA and its applications in algebraic geometry.

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

Explores morphisms, regularity, varieties, local rings, and evaluation morphism in algebraic geometry.

Covers the Weil conjectures on rationality, functional equation, and the Riemann hypothesis, exploring properties of varieties in algebraic geometry.

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

Covers fixed points, orbits, and stabilizers in G-varieties, including properties of closed subgroups and faithful actions.

Covers the concept of algebraic quotients in the context of a-variety.

Explores isotypic decomposition in finitely generated C-algebras and its implications, including G-stable ideals and linear projections.