Jumps and Monodromy of Abelian Varieties
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.
2010 Mathematics Subject Classification: MSC2000: 11G10, 14D05, 14D07
Keywords and Phrases:
Full text: dvi.gz 56 k, dvi 139 k, ps.gz 347 k, pdf 299 k.
Home Page of DOCUMENTA MATHEMATICA