# Journal article

## The Bieri–Neumann–Strebel invariants via Newton polytopes

Abstract:

We study the Newton polytopes of determinants of square matrices defined over rings of twisted Laurent polynomials. We prove that such Newton polytopes are single polytopes (rather than formal differences of two polytopes); this result can be seen as analogous to the fact that determinants of matrices over commutative Laurent polynomial rings are themselves polynomials, rather than rational functions. We also exhibit a relationship between the Newton polytopes and invertibility of the matrice...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Accepted manuscript, 514.4KB)
Publisher copy:
10.1007/s00222-019-00919-9

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Hertford College
Role:
Author
ORCID:
0000-0002-5536-9070
Publisher:
Springer Publisher's website
Journal:
Inventiones Mathematicae Journal website
Volume:
219
Issue:
3
Pages:
1009-1068
Publication date:
2019-09-07
Acceptance date:
2019-08-30
DOI:
EISSN:
1432-1297
ISSN:
0020-9910
Language:
English
Keywords:
Pubs id:
1118433
Local pid:
pubs:1118433
Deposit date:
2020-07-13