algebraic cycle
1Algebraic cycle — In mathematics, an algebraic cycle on an algebraic variety V is, roughly speaking, a homology class on V that is represented by a linear combination of subvarieties of V . Therefore the algebraic cycles on V are the part of the algebraic topology …
2Cycle — Contents 1 Chemistry 2 Economics 3 Mathematics 4 Music …
3Algebraic K-theory — In mathematics, algebraic K theory is an important part of homological algebra concerned with defining and applying a sequence Kn(R) of functors from rings to abelian groups, for all integers n. For historical reasons, the lower K groups K0 and… …
4Cycle space — This article is about a concept in graph theory. For space allocated to bicycles, see segregated cycle facilities. In graph theory, an area of mathematics, a cycle space is a vector space defined from an undirected graph; elements of the cycle… …
5Algebraic surface — In mathematics, an algebraic surface is an algebraic variety of dimension two. In the case of geometry over the field of complex numbers, an algebraic surface is therefore of complex dimension two (as a complex manifold, when it is non singular)… …
6Algebraic analysis — The phrase algebraic analysis of is often used as a synonym for algebraic study of , however this article is about a combination of algebraic topology, algebraic geometry and complex analysis started by Mikio Sato in 1959. Algebraic analysis is… …
7Cycle (graph theory) — In graph theory, the term cycle may refer to a closed path. If repeated vertices are allowed, it is more often called a closed walk. If the path is a simple path, with no repeated vertices or edges other than the starting and ending vertices, it… …
8Cycle notation — For the cyclic decomposition of graphs, see Cycle decomposition (graph theory). For cycling terminology, see glossary of bicycling. In combinatorial mathematics, the cycle notation is a useful convention for writing down a permutation in terms of …
9Standard conjectures on algebraic cycles — In mathematics, the standard conjectures about algebraic cycles is a package of several conjectures describing the relationship of algebraic cycles and Weil cohomology theories. The original application envisaged by Grothendieck was to prove that …
10Hodge cycle — In mathematics, a Hodge cycle is a particular kind of homology class defined on a complex algebraic variety V , or more generally on a Kähler manifold. A homology class x in a homology group : H k ( V , C ) = H where V is a non singular complex… …
