Autor: |
Halle, Lars Halvard, Nicaise, Johannes |
Rok vydání: |
2010 |
Předmět: |
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Druh dokumentu: |
Working Paper |
Popis: |
This is a survey on motivic zeta functions associated to abelian varieties and Calabi-Yau varieties over a discretely valued field. We explain how they are related to Denef and Loeser's motivic zeta function associated to a complex hypersurface singularity and we investigate the relation between the poles of the zeta function and the eigenvalues of the monodromy action on the tame $\ell$-adic cohomology of the variety. The motivic zeta function allows to generalize many interesting arithmetic invariants from abelian varieties to Calabi-Yau varieties and to compute them explicitly on a model with strict normal crossings. |
Databáze: |
arXiv |
Externí odkaz: |
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