Motivic zeta function via dlt modification

Chenyang Xu

doi:10.1307/mmj/1457101812

Motivic zeta function via dlt modification

Chenyang Xu

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Given a smooth variety X and a regular function f on it, by considering its dlt modification, we define the dlt motivic zeta function Z^dlt_mot(s) which does not depend on the choice of the dlt modification.

Original language	English (US)
Pages (from-to)	89-103
Number of pages	15
Journal	Michigan Mathematical Journal
Volume	65
Issue number	1
DOIs	https://doi.org/10.1307/mmj/1457101812
State	Published - Mar 2016
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1307/mmj/1457101812

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title = "Motivic zeta function via dlt modification",

abstract = "Given a smooth variety X and a regular function f on it, by considering its dlt modification, we define the dlt motivic zeta function Zdltmot(s) which does not depend on the choice of the dlt modification.",

author = "Chenyang Xu",

year = "2016",

month = mar,

doi = "10.1307/mmj/1457101812",

language = "English (US)",

volume = "65",

pages = "89--103",

journal = "Michigan Mathematical Journal",

issn = "0026-2285",

publisher = "University of Michigan",

number = "1",

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T1 - Motivic zeta function via dlt modification

AU - Xu, Chenyang

PY - 2016/3

Y1 - 2016/3

N2 - Given a smooth variety X and a regular function f on it, by considering its dlt modification, we define the dlt motivic zeta function Zdltmot(s) which does not depend on the choice of the dlt modification.

AB - Given a smooth variety X and a regular function f on it, by considering its dlt modification, we define the dlt motivic zeta function Zdltmot(s) which does not depend on the choice of the dlt modification.

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DO - 10.1307/mmj/1457101812

M3 - Article

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SP - 89

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JO - Michigan Mathematical Journal

JF - Michigan Mathematical Journal

IS - 1

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Motivic zeta function via dlt modification

Abstract

All Science Journal Classification (ASJC) codes

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