Motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties (Q2918498)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties |
scientific article; zbMATH DE number 6092115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties |
scientific article; zbMATH DE number 6092115 |
Statements
Motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties (English)
0 references
6 October 2012
0 references
motivic zeta function
0 references
abelian variety
0 references
Calabi-Yau variety
0 references
The aim of this paper is to present a global version of Denef and Loeser's motivic zeta functions. More precisely, a motivic zeta function \(Z_X(T)\) is defined for any Calabi-Yau variety over a complete discretely valued field \(K\) as a formal power series with coefficients in a certain localized Grothendieck ring of varieties over the residue field \(k\) of \(K\). The authors prove a global version of the motivic monodromy conjecture when \(X\) is an abelian variety.NEWLINENEWLINEFor the entire collection see [Zbl 1242.11004].
0 references
