BibTex format
@unpublished{Pal:2015,
author = {Pal, A},
publisher = {arXiv},
title = {The $p$-adic monodromy group of abelian varieties over global function fields of characteristic $p$},
url = {http://arxiv.org/abs/1512.03587v1},
year = {2015}
}
Publications
Citation
RIS format (EndNote, RefMan)
TY - UNPB
AB - We prove an analogue of the Tate isogeny conjecture and the semi-simplicity conjecture for overconvergent crystalline Dieudonné modules of abelian varieties defined over global function fields of characteristic p. As a corollary we deduce that monodromy groups of such overconvergent crystalline Dieudonné modules are reductive, and after a finite base change of coefficients their connected components are the same as the connected components of monodromy groups of Galois representations on the corresponding l-adic Tate modules, for l different from p. We also show such a result for general compatible systems incorporating overconvergent F-isocrystals, conditional on a result of Abe.
AU - Pal,A
PB - arXiv
PY - 2015///
TI - The $p$-adic monodromy group of abelian varieties over global function fields of characteristic $p$
UR - http://arxiv.org/abs/1512.03587v1
UR - http://hdl.handle.net/10044/1/64429
ER -