Jumps and monodromy of abelian varieties (Q418675)
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scientific article; zbMATH DE number 6039000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Jumps and monodromy of abelian varieties |
scientific article; zbMATH DE number 6039000 |
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Jumps and monodromy of abelian varieties (English)
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29 May 2012
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Summary: We prove a strong form of the motivic monodromy conjecture for abelian varieties, by showing that the order of the unique pole of the motivic zeta function is equal to the maximal rank of a Jordan block of the corresponding monodromy eigenvalue. Moreover, we give a Hodge-theoretic interpretation of the fundamental invariants appearing in the proof.
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