Concept
Rational variety
Related lectures (33)
Complex Manifolds: GAGA Principle
Covers the GAGA principle, stating that any morphism on projective varieties is constant.
Projective Varieties: Invariants and Dimensions
Covers invariants and dimensions of projective varieties, emphasizing their importance.
Compact Manifolds Classification
Covers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.
Field of Rational Functions
Explores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.
Projective Varieties: An Algebraic Study
Covers the study of projective varieties and their relation to compact manifolds.
Algebraic Varieties and Morphisms
Introduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.
Distributed Computing: Challenges and Solutions
Explores challenges in distributed computing, data growth, and data types, emphasizing the battle against the three Vs in big data.
Closed Curves and Topological Spaces
Explores closed curves in topological spaces, emphasizing their properties and significance in mathematics.
Electronic Voting: Processes and Approaches
Explores electronic voting processes, approaches, and technologies, emphasizing integrity, fairness, and transparency in voting systems.
Data Abstraction: Rational Numbers
Covers data abstraction in rational numbers, including client's view, self-reference, preconditions, assertions, constructors, and end markers.