Codimension
Codimension In mathematics, codimension is a basic geometric idea that applies ... of W of dimension k, then the codimension of V is n − k. The fundamental property of codimension lies in its relation to intersection: if W 1 has codimension k 1 , and W 2 has ...
http://en.wikipedia.org/wiki/Codimension - 5k - Cached - Similar pages

Talk:Codimension
Talk:Codimension Is "counting constants" an error for "counting ...
http://en.wikipedia.org/wiki/Talk:Codimension - 0k - Cached - Similar pages

Ramification
... terms, ramification is something that happens in codimension two (like knot theory, and monodromy); since real codimension two is complex codimension one, the local complex example sets the ... over along a line (one variable), or codimension one subspace in the general case. The ... by analogy, it also happens in algebraic codimension one. In algebraic number theory Ramification ...
http://en.wikipedia.org/wiki/Ramification - 7k - Cached - Similar pages

Duality (projective geometry)
... in general, that interchanges dimension + 1 and codimension. That is, in an ambient projective space ... 0) are made to correspond with hyperplanes (codimension 1), the lines joining two points (dimension ... correspond with the intersection of two hyperplanes (codimension 2), and so on. Points and lines ...
http://en.wikipedia.org/wiki/Duality_(projective_geometry) - 24k - Cached - Similar pages

Glossary of differential geometry and topology
... Bundle, see fiber bundle. C Chart Cobordism Codimension. The codimension of a submanifold is the dimension of ... Hypersurface. A hypersurface is a submanifold of codimension one. I Immersion L Lens space. A ...
http://en.wikipedia.org/wiki/Glossary_of_differential_geometry_and_topology - 6k - Cached - Similar pages

Complete intersection
... number of homogeneous polynomials indicated by its codimension. That is, if the dimension of an ... n − m ≥ 2. When the codimension n − m = 1 then automatically V ...
http://en.wikipedia.org/wiki/Complete_intersection - 5k - Cached - Similar pages

Complex dimension
... dimension 2d. The same points apply to codimension. For example a smooth complex hypersurface in ... space into two components, because it has codimension 2.
http://en.wikipedia.org/wiki/Complex_dimension - 1k - Cached - Similar pages

Divisor (algebraic geometry)
... finite linear combination of irreducible subvarieties of codimension one. The set of Weil divisors forms ... Cartier divisor defines an associated subvariety of codimension 1. To every Cartier divisor D there ...
http://en.wikipedia.org/wiki/Divisor_(algebraic_geometry) - 4k - Cached - Similar pages

Taut foliation
... In mathematics, a taut foliation is a codimension 1 foliation of a 3-manifold with ... by a result of Dennis Sullivan , a codimension 1 foliation is taut if there exists ...
http://en.wikipedia.org/wiki/Taut_foliation - 2k - Cached - Similar pages

Linear system of divisors
... the four given points (note that the codimension four here matches the dimension, one, in ... in the free abelian group generated by codimension-one subvarieties), and Cartier divisors coming from ...
http://en.wikipedia.org/wiki/Linear_system_of_divisors - 7k - Cached - Similar pages