Jumps and monodromy of abelian varieties

Details Jumps and monodromy of abelian varieties Jumps and monodromy of abelian varieties

2010-09-20

arxiv.org/abs/1009.3777v2

Mathematics

Algebraic Geometry

Section 5 rewritten, Section 6 expanded

Scientific paper

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 size of the maximal 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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