Concept

Complete variety

Related lectures (32)

Projective Varieties: Invariants and Dimensions

Covers invariants and dimensions of projective varieties, emphasizing their importance.

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

Albanese and Fourier Transform: Positive Characteristic

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

Projective Varieties: An Algebraic Study

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

Tangent Spaces in Algebraic Geometry

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Dimension of Algebraic Variety

Explores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.

Complex Manifolds: GAGA Principle

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

Adjunctions and Applications

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

Riemann Zeta Function

Explores the Riemann zeta function, its properties, applications, and analogies in number theory and 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.

Design Reflection Minute

Explores diverse pedagogical design approaches and emphasizes the importance of diversity.

Tangent Spaces Insights

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

Primary Decomposition: Behaviour and Localisation

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

Algebraic Varieties and Morphisms

Introduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.

Seven-Eleven Japan Discussion: Supply Chain Excellence

Explores Seven-Eleven Japan's operational excellence, focusing on data collection, distribution, inventory management, and value creation strategies.

Discrete Log Problem: Index Calculus

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

Sport Obermeyer Case Study

Delves into the Sport Obermeyer case study, exploring supply chain challenges, forecasting methods, and production planning.

Affine Algebraic Sets

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

Algebraic Quotients

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

Tangent Spaces and Varieties

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