Gonality of an algebraic curve
id:
gonality-of-an-algebraic-curve-190-5563144
title:
Gonality of an algebraic curve
text:
In mathematics, the gonality of an algebraic curve C is defined as the lowest degree of a nonconstant rational map from C to the projective line. In more algebraic terms, if C is defined over the field K and K(C) denotes the function field of C, then the gonality is the minimum value taken by the degrees of field extensions
- K(C)/K(f) of the function field over its subfields generated by single functions f. If K is algebraically closed, then the gonality is 1 precisely for curves of genus 0.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Gonality_of_an_algebraic_curve
date created:
2005-11-07T08:10:43Z
date modified:
2024-09-09T18:24:10Z
main entity:
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image:
fields total:
13
integrity:
14