Matches in SemOpenAlex for { <https://semopenalex.org/work/W3174527161> ?p ?o ?g. }
- W3174527161 abstract "Let $X/mathbb{F}_{q}$ be a smooth geometrically connected variety. Inspired by work of Corlette-Simpson over $mathbb{C}$, we formulate a conjecture that absolutely irreducible rank 2 local systems with infinite monodromy on $X$ come from families of abelian varieties. When $X$ is a projective variety, we prove a Lefschetz-style theorem for abelian schemes of $text{GL}_2$-type on $X$, modeled after a theorem of Simpson. If one assumes a strong form of Deligne's ($p$-adic) emph{companions conjecture} from Weil II, this implies that our conjecture for projective varieties also reduces to the case of projective curves. We also answer affirmitavely a question of Grothendieck on extending abelian schemes via their $p$-divisible groups." @default.
- W3174527161 created "2021-07-05" @default.
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- W3174527161 date "2021-06-18" @default.
- W3174527161 modified "2023-10-16" @default.
- W3174527161 title "Rank 2 local systems and abelian varieties" @default.
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- W3174527161 doi "https://doi.org/10.1007/s00029-021-00669-8" @default.
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