Function field (scheme theory)
id:
function-field-scheme-theory-239-7295280
title:
Function field (scheme theory)
text:
The sheaf of rational functions KX of a scheme X is the generalization to scheme theory of the notion of function field of an algebraic variety in classical algebraic geometry. In the case of algebraic varieties, such a sheaf associates to each open set U the ring of all rational functions on that open set; in other words, KX(U) is the set of fractions of regular functions on U. Despite its name, KX does not always give a field for a general scheme X.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Function_field_(scheme_theory)
date created:
date modified:
2024-02-18T10:15:32Z
main entity:
{"identifier":"Q5508772","url":"https://www.wikidata.org/entity/Q5508772"}
image:
fields total:
13
integrity:
13