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Embedding Dimension
This is a glossary of commutative algebra. See also list of algebraic geometry topics, glossary of classical algebraic geometry, glossary of algebraic geometry, glossary of ring theory and glossary of module theory. In this article, all rings are assumed to be commutative ring, commutative with identity 1. !$@ A B C D E F G H . ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
List Of Algebraic Geometry Topics
This is a list of algebraic geometry topics, by Wikipedia page. Classical topics in projective geometry *Affine space *Projective space *Projective line, cross-ratio *Projective plane **Line at infinity **Complex projective plane *Complex projective space *Plane at infinity, hyperplane at infinity *Projective frame *Projective transformation *Fundamental theorem of projective geometry *Duality (projective geometry) *Real projective plane *Real projective space *Segre embedding of a product of projective spaces *Rational normal curve Algebraic curves *Conics, Pascal's theorem, Brianchon's theorem *Twisted cubic *Elliptic curve, cubic curve **Elliptic function, Jacobi's elliptic functions, Weierstrass's elliptic functions **Elliptic integral **Complex multiplication **Weil pairing *Hyperelliptic curve *Klein quartic *Modular curve **Modular equation **Modular function **Modular group **Supersingular prime (for an elliptic curve), Supersingular primes *Fermat curve *Bézout's theorem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Geometrically Regular Local Ring
In algebraic geometry, a geometrically regular ring is a Noetherian ring over a field that remains a regular ring after any finite extension of the base field. Geometrically regular schemes are defined in a similar way. In older terminology, points with regular local rings were called simple points, and points with geometrically regular local rings were called absolutely simple points. Over fields that are of characteristic 0, or algebraically closed, or more generally perfect, geometrically regular rings are the same as regular rings. Geometric regularity originated when Claude Chevalley and André Weil pointed out to that, over non-perfect fields, the Jacobian criterion for a simple point of an algebraic variety is not equivalent to the condition that the local ring is regular. A Noetherian local ring containing a field ''k'' is geometrically regular over ''k'' if and only if it is formally smooth over ''k''. Examples gave the following two examples of local rings that a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Algebra With Straightening Law
In mathematics, a Hodge algebra or algebra with straightening law is a commutative algebra that is a free module over some ring ''R'', together with a given basis similar to the basis of standard monomials of the coordinate ring of a Grassmannian. Hodge algebras were introduced by , who named them after W. V. D. Hodge Sir William Vallance Douglas Hodge (; 17 June 1903 – 7 July 1975) was a British mathematician, specifically a geometer. His discovery of far-reaching topological relations between algebraic geometry and differential geometry—an area no .... References * Commutative algebra {{commutative-algebra-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |