Work

Beyond the Laurent phenomenon

Year: 2026

Type: article

Abstract: In a cluster algebra, a subset of initial cluster variables can be specialised in such a way that all elements of the resulting algebra become polynomial in the remaining variables. This allows obtaining any tame integral frieze pattern of type $$A_n$$ A n by specialisation of initial cluster variables, including specialisation to zero.

Source: Archiv der Mathematik

DOI: 10.1007/s00013-026-02305-3

Author: Andrei Zabolotskii

Institution: The Open University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Durham University, Engineering and Physical Sciences Research Council, Division of Mathematical Sciences