Hyperelliptic curve
id:
hyperelliptic-curve-273-14129473
title:
Hyperelliptic curve
text:
In algebraic geometry, a hyperelliptic curve is an algebraic curve of genus g > 1, given by an equation of the form where f(x) is a polynomial of degree n = 2g + 1 > 4 or n = 2g + 2 > 4 with n distinct roots, and h(x) is a polynomial of degree < g + 2 (if the characteristic of the ground field is not 2, one can take h(x) = 0). A hyperelliptic function is an element of the function field of such a curve, or of the Jacobian variety on the curve; these two concepts are identical for elliptic functi
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hyperelliptic_curve
date created:
date modified:
2024-04-11T16:58:32Z
main entity:
{"identifier":"Q850110","url":"https://www.wikidata.org/entity/Q850110"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/d1/Example_of_a_hyperelliptic_curve.svg","width":512,"height":441}
fields total:
13
integrity:
14