Jumps and monodromy of abelian varieties
Algebraic Geometry
2011-09-09 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1009.3777,
title = {Jumps and monodromy of abelian varieties},
author = {Lars Halvard Halle and Johannes Nicaise},
journal= {arXiv preprint arXiv:1009.3777},
year = {2011}
}
Comments
Section 5 rewritten, Section 6 expanded