In mathematics, the Fulton–Hansen connectedness theorem is a result from intersection theory in algebraic geometry, for the case of subvarieties of projective space with codimension large enough to make the intersection have components of dimension at least 1. It is named after William Fulton and Johan Hansen, who proved it in 1979. The formal statement is that if V and W are irreducible algebraic subvarieties of a projective space P, all over an algebraically closed field, and if in terms of the dimension of an algebraic variety, then the intersection U of V and W is connected.
Attributes | Values |
---|
rdf:type
| |
rdfs:label
| - Fulton–Hansen connectedness theorem (en)
|
rdfs:comment
| - In mathematics, the Fulton–Hansen connectedness theorem is a result from intersection theory in algebraic geometry, for the case of subvarieties of projective space with codimension large enough to make the intersection have components of dimension at least 1. It is named after William Fulton and Johan Hansen, who proved it in 1979. The formal statement is that if V and W are irreducible algebraic subvarieties of a projective space P, all over an algebraically closed field, and if in terms of the dimension of an algebraic variety, then the intersection U of V and W is connected. (en)
|
dcterms:subject
| |
Wikipage page ID
| |
Wikipage revision ID
| |
Link from a Wikipage to another Wikipage
| |
Link from a Wikipage to an external page
| |
sameAs
| |
dbp:wikiPageUsesTemplate
| |
has abstract
| - In mathematics, the Fulton–Hansen connectedness theorem is a result from intersection theory in algebraic geometry, for the case of subvarieties of projective space with codimension large enough to make the intersection have components of dimension at least 1. It is named after William Fulton and Johan Hansen, who proved it in 1979. The formal statement is that if V and W are irreducible algebraic subvarieties of a projective space P, all over an algebraically closed field, and if in terms of the dimension of an algebraic variety, then the intersection U of V and W is connected. More generally, the theorem states that if is a projective variety and is any morphism such that , then is connected, where is the diagonal in . The special case of intersections is recovered by taking , with the natural inclusion. (en)
|
prov:wasDerivedFrom
| |
page length (characters) of wiki page
| |
foaf:isPrimaryTopicOf
| |
is Link from a Wikipage to another Wikipage
of | |
is Wikipage redirect
of | |
is Wikipage disambiguates
of | |
is foaf:primaryTopic
of | |