Bollen, Guus P; Cartwright, Dustin; Draisma, Jan (2022). Matroids Over One-Dimensional Groups. International Mathematics Research Notices, 2022(3), pp. 2298-2336. Oxford University Press 10.1093/imrn/rnaa175
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We develop the theory of matroids over one-dimensional algebraic groups, with special emphasis on positive characteristic. In particular, we compute the Lindström valuations and Frobenius flocks of such matroids. Building on work by Evans and Hrushovski, we show that the class of algebraic matroids, paired with their Lindström valuations, is not closed under duality of valuated matroids.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Draisma, Jan |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1073-7928 |
Publisher: |
Oxford University Press |
Language: |
English |
Submitter: |
Zarif Ibragimov |
Date Deposited: |
14 Mar 2023 09:25 |
Last Modified: |
14 Mar 2023 23:27 |
Publisher DOI: |
10.1093/imrn/rnaa175 |
BORIS DOI: |
10.48350/179977 |
URI: |
https://boris.unibe.ch/id/eprint/179977 |
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