Convergent Hahn Series and Tropical Geometry of Higher Rank

Joswig, Michael and Smith, Ben (2023) Convergent Hahn Series and Tropical Geometry of Higher Rank. Journal of the London Mathematical Society, 107 (4). pp. 1450-1481. ISSN 0024-6107

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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.

Item Type:

Journal Article

Journal or Publication Title:

Journal of the London Mathematical Society

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600

Subjects:

?? mathematics(all) ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

225361

Deposited By:

ep_importer_pure

Deposited On:

30 Oct 2024 14:35

Refereed?:

Yes

Published?:

Published

Last Modified:

06 Nov 2024 19:10

URI:

https://eprints.lancs.ac.uk/id/eprint/225361