Hilbert scheme
id:
hilbert-scheme-239-1285991
title:
Hilbert scheme
text:
In algebraic geometry, a branch of mathematics, a Hilbert scheme is a scheme that is the parameter space for the closed subschemes of some projective space, refining the Chow variety. The Hilbert scheme is a disjoint union of projective subschemes corresponding to Hilbert polynomials. The basic theory of Hilbert schemes was developed by Alexander Grothendieck (1961). Hironaka's example shows that non-projective varieties need not have Hilbert schemes.
brand slug:
wiki
category slug:
encyclopedia
description:
Moduli scheme of subschemes of a scheme, represents the flat-family-of-subschemes functor
original url:
https://en.wikipedia.org/wiki/Hilbert_scheme
date created:
date modified:
2024-03-22T23:50:09Z
main entity:
{"identifier":"Q5761225","url":"https://www.wikidata.org/entity/Q5761225"}
image:
fields total:
13
integrity:
14