Work

Local systems which do not come from abelian varieties

Year: 2025

Type: article

Abstract: For each smooth curve over a finite field, after puncturing it at finitely many points, we construct local systems on it of geometric origin which do not come from a family of abelian varieties. We do so by proving a criterion which must be satisfied by local systems which do come from abelian varieties, inspired by an analogous Hodge theoretic criterion in characteristic zero.

Source: Journal de l’École polytechnique — Mathématiques

DOI: 10.5802/jep.292

Authors: Paul Brommer-Wierig, Yeuk Hay Joshua Lam

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Deutsche Forschungsgemeinschaft, H2020 European Research Council

Awards: Tame geometry and transcendence in Hodge theory, G1372115314, G2033548659, EXC 2046: MATH+: Berlin Mathematics Research Center, Dynamik auf Charaktervarietäten und HodgeTheorie

OpenAlex ID: W4407702810