Category:Abelian varieties
Category:Abelian varieties Subcategories There is 1 subcategory to this ... category. E Elliptic curves Pages in category "Abelian varieties" There are 15 pages in this section of this category. * Abelian variety A Abelian integral Abelian variety ...
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Arithmetic of abelian varieties
Arithmetic of abelian varieties In mathematics, the arithmetic of abelian varieties is the study of the number theory of an abelian variety, or family of those. It ...
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Abelian
Abelian In mathematics, the term abelian is used in many different definitions: In group theory An abelian group is a group in which the ... binary operation is commutative. The category of abelian groups Ab has abelian groups as objects and group homomorphisms ...
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Abelian variety
Abelian variety In mathematics, particularly in algebraic geometry, complex analysis and number theory, an abelian variety is a complex torus that can ... general than the complex numbers. One-dimensional abelian varieties are elliptic curves. History and motivation The ... This gave the first glimpse of an abelian variety of dimension 2 (an abelian ...
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Category:Algebraic varieties
Category:Algebraic varieties Subcategories There are 6 subcategories to this category. A Abelian varieties Algebraic curves Algebraic surfaces B Birational geometry ... divisors Q Quadrics Pages in category "Algebraic varieties" There are 24 pages in this section ...
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Abelian variety of CM-type
Abelian variety of CM-type In mathematics, an abelian variety A defined over a field K ... correct formulations of the corresponding theory for abelian varieties of dimension d > 1. The problem is ... that A may not be a simple abelian variety (it might be a cartesian ...
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Glossary of arithmetic and Diophantine geometry
... in general is the study of algebraic varieties V over fields K that are finitely ... explicitly includes the 'infinite primes'. Arithmetic of abelian varieties See main article arithmetic of abelian varieties Artin L-functions Artin L-functions ...
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Algebraic geometry
... math>x+y+z=0. Affine varieties First we start with a field k ... I(V). The category of affine varieties Using regular functions from an affine variety ... This makes the collection of all affine varieties into a category, where the objects are affine varieties and the morphisms are regular maps. The ... following theorem characterizes the category of affine varieties: The category of affine varieties is ...
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Localization of a category
... homotopy theory modulo some class C of abelian groups. This meant that groups A and ... step of adding inverses of quasi-isomorphisms. Abelian varieties up to isogeny An isogeny from an abelian variety A to another one B is ... morphism with finite kernel. Some theorems on abelian varieties require the idea of abelian ...
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User:Lethe/list of categories
... z + →/← ⊗ ccc comments Ab abelian groups group homomorphisms y y/y y ... Abelianization a functor from Grp. AbF filtered abelian groups y y/y 0 pAb AbT topological abelian groups homomorphisms y y/y y/y ... by Stone's representation theorem CAb compact abelian groups group homomorphisms y Ab y n ... n n n/n n Div divisible abelian groups y pAb DLat distributive lattices ...
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