Ruled variety
id:
ruled-variety-305-13861057
title:
Ruled variety
text:
In algebraic geometry, a variety over a field k is ruled if it is birational to the product of the projective line with some variety over k. A variety is uniruled if it is covered by a family of rational curves. The concept arose from the ruled surfaces of 19th-century geometry, meaning surfaces in affine space or projective space which are covered by lines. Uniruled varieties can be considered to be relatively simple among all varieties, although there are many of them.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Ruled_variety
date created:
date modified:
2023-01-24T10:18:26Z
main entity:
{"identifier":"Q7378987","url":"https://www.wikidata.org/entity/Q7378987"}
image:
fields total:
13
integrity:
13