scheme theory
English
Noun
- Used other than with a figurative or idiomatic meaning: see scheme, theory.
- (algebraic geometry) The branch of mathematics that concerns schemes (algebraic varieties equipped with the Zariski topology).
- 1997, Goro Kato (translator), Kenji Ueno, Algebraic Geometry 1: From Algebraic Varieties to Schemes, American Mathematical Society, page x,
- This book develops Grothendieck's scheme theory as a method for studying algebraic geometry. […] In the preface of EGA, Grothendieck even claimed that a knowledge of classical algebraic geometry may hinder the reader from studying scheme theory.
- 1999, Freddy Van Oystaeyen, A Deformation of Projective Schemes, Freddy Van Oystaeyen (editor), Commutative Algebra and Algebraic Geometry, Marcel Dekker, page 295,
- There is another approach dealing with more ring theoretical objects, i.e. starting from a nice class of algebras, called schematic algebras, it is possible to define a space, a Zariski topology, points, lines etc..., cf. [VOW1], [AZ], [ATV]. then it becomes possible to develop a scheme theory, completely extending the theory of schemes in classical algebraic geometry.
- 2004, Haruzo Hida, p-Adic Automorphic Forms on Shimura Varieties, Springer, page 68,
- The main point of scheme theory is to consider as a covariant functor from the category (also written as ) of -algebras into the category of sets.
- 1997, Goro Kato (translator), Kenji Ueno, Algebraic Geometry 1: From Algebraic Varieties to Schemes, American Mathematical Society, page x,
- (psychology) A theory of group decision-making which explains group decisions as the result of a decision scheme on the initial distribution of attitudes in the group.
- 1998, Douglas J. Hacker, Metacognition in Educational Theory and Practice, page 78:
- With these ideas of scheme theory, perturbation, and abstraction, it becomes possible to see how metacognition might be interpreted in constructivist terms.
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