Work

Hypergeometric motives from Euler integral representations

Year: 2026

Type: article

Abstract: We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of ‐series attached to nondegenerate hypergeometric motives and zeta functions of tori, twisted by Hecke Grössencharacters. This permits a combinatorial algorithm for computing the Hodge numbers of the family.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70424

Authors: Tyler L. Kelly, John Voight

Institutions: Queen Mary University of London, Dartmouth College, The University of Sydney

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Engineering and Physical Sciences Research Council