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Convergent Hahn Series and Tropical Geometry of Higher Rank

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Convergent Hahn Series and Tropical Geometry of Higher Rank. / Joswig, Michael; Smith, Ben.
In: Journal of the London Mathematical Society, Vol. 107, No. 4, 30.04.2023, p. 1450-1481.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Joswig, M & Smith, B 2023, 'Convergent Hahn Series and Tropical Geometry of Higher Rank', Journal of the London Mathematical Society, vol. 107, no. 4, pp. 1450-1481. https://doi.org/10.1112/jlms.12716

APA

Joswig, M., & Smith, B. (2023). Convergent Hahn Series and Tropical Geometry of Higher Rank. Journal of the London Mathematical Society, 107(4), 1450-1481. https://doi.org/10.1112/jlms.12716

Vancouver

Joswig M, Smith B. Convergent Hahn Series and Tropical Geometry of Higher Rank. Journal of the London Mathematical Society. 2023 Apr 30;107(4):1450-1481. Epub 2023 Feb 11. doi: 10.1112/jlms.12716

Author

Joswig, Michael ; Smith, Ben. / Convergent Hahn Series and Tropical Geometry of Higher Rank. In: Journal of the London Mathematical Society. 2023 ; Vol. 107, No. 4. pp. 1450-1481.

Bibtex

@article{76821b59ca9148ce8cb7941c684c4971,
title = "Convergent Hahn Series and Tropical Geometry of Higher Rank",
abstract = "We propose to study the tropical geometry specifically arising from convergent Hahn series in multiple indeterminates. One application is a new view on stable intersections of tropical hypersurfaces. Another one is perturbations of rank one tropical polytopes, which is beneficial for algorithmic purposes. ",
author = "Michael Joswig and Ben Smith",
year = "2023",
month = apr,
day = "30",
doi = "10.1112/jlms.12716",
language = "English",
volume = "107",
pages = "1450--1481",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "Oxford University Press",
number = "4",

}

RIS

TY - JOUR

T1 - Convergent Hahn Series and Tropical Geometry of Higher Rank

AU - Joswig, Michael

AU - Smith, Ben

PY - 2023/4/30

Y1 - 2023/4/30

N2 - We propose to study the tropical geometry specifically arising from convergent Hahn series in multiple indeterminates. One application is a new view on stable intersections of tropical hypersurfaces. Another one is perturbations of rank one tropical polytopes, which is beneficial for algorithmic purposes.

AB - We propose to study the tropical geometry specifically arising from convergent Hahn series in multiple indeterminates. One application is a new view on stable intersections of tropical hypersurfaces. Another one is perturbations of rank one tropical polytopes, which is beneficial for algorithmic purposes.

UR - https://research.manchester.ac.uk/en/publications/0129c590-90fe-4b37-98f7-3f47748a1159

U2 - 10.1112/jlms.12716

DO - 10.1112/jlms.12716

M3 - Journal article

VL - 107

SP - 1450

EP - 1481

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

SN - 0024-6107

IS - 4

ER -