Work

Rigid non-cohomologically rigid local systems

Year: 2025

Type: article

Abstract: For any even natural number r ≥ 2, we construct an irreducible rigid non-cohomologically rigid complex local system of rank r on a smooth projective variety depending on r.For r = 2, we construct an irreducible rigid non-cohomogically rigid local system of rank 2 on a quasi-projective variety which becomes cohomologically rigid after fixing the conjugacy classes of the monodromies at infinity.

Source: Algebraic Geometry and Physics

DOI: 10.4310/agp.250624004153

Authors: Johan de Jong, Hélène Esnault, Michael Groechenig

Institutions: Columbia University, Freie Universität Berlin, University of Toronto

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Natural Sciences and Engineering Research Council of Canada

OpenAlex ID: W4411574946