BibTex format
@unpublished{Krishnamoorthy:2018,
author = {Krishnamoorthy, R and Pal, A},
title = {Rank 2 local systems and abelian varieties},
url = {http://hdl.handle.net/10044/1/66467},
year = {2018}
}
Publications
Citation
RIS format (EndNote, RefMan)
TY - UNPB
AB - LetX/Fqbe a smooth geometrically connected variety. Inspired by work of Corlette-Simpson overC, we formulate a conjecture that absolutely irreducible rank 2 local systems withinfinite monodromy onX“come from families of abelian varieties”. WhenXis a projective variety,we prove that ap-adic variant of this conjecture reduces to the case of projective curves. If oneassumes a strong form of Deligne’s (p-adic)companions conjecturefrom Weil II, this implies that thel-adic version of our conjecture for projective varieties also reduces to the case of projective curves.Along the way we prove Lefschetz theorems for homomorphismsof abelian schemes and Barsotti-Tategroups. We also answer affirmitavely a question of Grothendieck on extending abelian schemes viatheirp-divisible groups.
AU - Krishnamoorthy,R
AU - Pal,A
PY - 2018///
TI - Rank 2 local systems and abelian varieties
UR - http://hdl.handle.net/10044/1/66467
ER -