Lecture
Algebraic Varieties: Projective Sets and Topology
Related lectures (33)
Affine Algebraic Sets
Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Algebraic Varieties in Linear Algebra
Explores algebraic varieties in linear algebra, focusing on their nature, determinants, irreducibility, prime properties, and geometric representation theory.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Dimension of Algebraic Variety
Explores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.
Affine Varieties and Hypersurfaces
Explores affine varieties, hypersurfaces, dimension in algebraic geometry, minimal prime ideals, and local properties of plane curves.
Algebraic Geometry: Localization and Prime Ideals
Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.
Modern Algebraic Geometry
Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.
Albanese and Fourier Transform: Positive Characteristic
Explores Albanese varieties, Fourier-Mukai transforms, and positive characteristic applications.
Albanese Morphism: Kodaira Dimension Zero
Explores the Albanese morphism of varieties with Kodaira dimension zero in positive characteristic.
Projective Algebraic Sets: Definitions and Properties
Covers the definitions and properties of projective algebraic sets and their applications in algebraic geometry.