Motivic zeta function
id:
motivic-zeta-function-198-5847977
title:
Motivic zeta function
text:
In algebraic geometry, the motivic zeta function of a smooth algebraic variety X is the formal power series: Here X is the n -th symmetric power of X , i.e., the quotient of X n by the action of the symmetric group S n , and [ X ] is the class of X in the ring of motives. If the ground field is finite, and one applies the counting measure to Z , one obtains the local zeta function of X . If the ground field is the complex numbers, and one applies Euler characteristic with compact supports to Z ,
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Motivic_zeta_function
date created:
date modified:
2023-07-10T20:09:20Z
main entity:
{"identifier":"Q17099147","url":"https://www.wikidata.org/entity/Q17099147"}
image:
fields total:
13
integrity:
13