A structured visual guide to the major mathematical areas and their relationships.
Search by code, branch, topic, subtopic, or a keyword from the descriptions.
This subtopic studies foundations of algebraic geometry, including the basic language and principles that organize the subject across examples and general theory.
14A10 studies varieties and morphisms in foundations of algebraic geometry. It emphasizes basic objects, morphisms, and categorical frameworks that organize modern algebraic geometry from local models to global constructions.
Varieties and morphisms (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.
14A15 studies schemes and morphisms in foundations of algebraic geometry. It emphasizes basic objects, morphisms, and categorical frameworks that organize modern algebraic geometry from local models to global constructions.
Schemes and morphisms (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.
14A20 studies generalizations (algebraic spaces, stacks) in foundations of algebraic geometry. It emphasizes basic objects, morphisms, and categorical frameworks that organize modern algebraic geometry from local models to global constructions.
Generalizations (algebraic spaces, stacks) (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.
14A21 studies logarithmic algebraic geometry in foundations of algebraic geometry. It emphasizes basic objects, morphisms, and categorical frameworks that organize modern algebraic geometry from local models to global constructions.
Logarithmic algebraic geometry (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.
14A22 studies noncommutative algebraic geometry in foundations of algebraic geometry. It emphasizes basic objects, morphisms, and categorical frameworks that organize modern algebraic geometry from local models to global constructions.
Noncommutative algebraic geometry (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.
14A25 studies elementary questions in foundations of algebraic geometry. It emphasizes basic objects, morphisms, and categorical frameworks that organize modern algebraic geometry from local models to global constructions.
Elementary questions (Wikipedia)
Used to organize definitions, compare equivalent formulations, and support proof-driven or computational work in algebra and algebraic geometry.