Castelnuovo curve
id:
castelnuovo-curve-314-6636177
title:
Castelnuovo curve
text:
In algebraic geometry, a Castelnuovo curve, studied by Castelnuovo (1889), is a curve in projective space Pn of maximal genus g among irreducible non-degenerate curves of given degree d. Castelnuovo showed that the maximal genus is given by the Castelnuovo bound where m and ε are the quotient and remainder when dividing d–1 by n–1.
Castelnuovo described the curves satisfying this bound, showing in particular that they lie on either a rational normal scroll or on the Veronese surface.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Castelnuovo_curve
date created:
date modified:
2015-10-14T14:19:40Z
main entity:
{"identifier":"Q5049715","url":"https://www.wikidata.org/entity/Q5049715"}
image:
fields total:
13
integrity:
13