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# Abelian function

мат.
абелева функция

English-Russian scientific dictionary. 2008.

### Смотреть что такое "Abelian function" в других словарях:

• Abelian — Abelian, in mathematics, is used in many different definitions, named after Norwegian mathematician Niels Henrik Abel:In group theory:*Abelian group, a group in which the binary operation is commutative **Category of abelian groups Ab has abelian …   Wikipedia

• Abelian variety — In mathematics, particularly in algebraic geometry, complex analysis and number theory, an Abelian variety is a projective algebraic variety that is at the same time an algebraic group, i.e., has a group law that can be defined by regular… …   Wikipedia

• Abelian variety of CM-type — In mathematics, an abelian variety A defined over a field K is said to have CM type if it has a large enough commutative subring in its endomorphism ring End(A). The terminology here is from complex multiplication theory, which was developed for… …   Wikipedia

• Abelian integral — In mathematics, an abelian integral in Riemann surface theory is a function related to the indefinite integral of a differential of the first kind. Suppose we are given a Riemann surface S and on it a differential 1 form ω that is everywhere… …   Wikipedia

• Abelian extension — In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian. When the Galois group is a cyclic group, we have a cyclic extension. More generally, a Galois extension is called solvable if its Galois group is… …   Wikipedia

• Timeline of abelian varieties — This is a timeline of the theory of abelian varieties in algebraic geometry, including elliptic curves.Early history* c. 1000 Al Karaji writes on congruent numbers [ [http://www.cms.math.ca/Events/summer05/abs/pdf/hm.pdf PDF] ] eventeenth… …   Wikipedia

• 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 goes back to the studies of Fermat on what are now recognised as elliptic curves; and has become a very… …   Wikipedia

• Pre-Abelian category — In mathematics, specifically in category theory, a pre Abelian category is an additive category that has all kernels and cokernels.Spelled out in more detail, this means that a category C is pre Abelian if: # C is preadditive, that is enriched… …   Wikipedia

• Dehn function — In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the …   Wikipedia

• Schwartz-Bruhat function — In mathematics, a Schwartz Bruhat function is a function on a locally compact abelian group, such as the adeles, that generalizes a Schwartz function on a real vector space. A tempered distribution is defined as a continuous linear functional on… …   Wikipedia

• Artin L-function — In mathematics, an Artin L function is a type of Dirichlet series associated to a linear representation ρ of a Galois group G . These functions were introduced in the 1923 by Emil Artin, in connection with his research into class field theory.… …   Wikipedia

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