Source: wikibot/function-field-of-an-algebraic-variety

= Function field of an algebraic variety
{wiki=Function_field_of_an_algebraic_variety}

The function field of an algebraic variety is a concept that arises in algebraic geometry. It can be thought of as the "field of rational functions" defined on the variety. Here’s a more detailed explanation: 1. **Algebraic Variety**: An algebraic variety is a geometric object that is defined as the solution set to a system of polynomial equations over a given field (typically the field of complex numbers or the rationals).