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...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- 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
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1118433
- Local pid:
- pubs:1118433
- Deposit date:
- 2020-07-13
Terms of use
- Copyright holder:
- Springer-Verlag GmbH
- Copyright date:
- 2020
- Rights statement:
- © Springer-Verlag GmbH Germany, part of Springer Nature 2019.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Springer at: https://doi.org/10.1007/s00222-019-00919-9
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