Construction of the Lindstr\'om valuation of an algebraic extension
| Autor: | Cartwright, Dustin |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | J. Combin. Theory Ser. A 157 (2018) 389-401 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jcta.2018.03.003 |
| Popis: | Recently, Bollen, Draisma, and Pendavingh have introduced the Lindstr\"om valuation on the algebraic matroid of a field extension of characteristic p. Their construction passes through what they call a matroid flock and builds on some of the associated theory of matroid flocks which they develop. In this paper, we give a direct construction of the Lindstr\"om valuated matroid using the theory of inseparable field extensions. In particular, we give a description of the valuation, the valuated circuits, and the valuated cocircuits. Comment: 12 pages, v2: added Section 3 on valuated cocircuits and minors, v3: minor changes and corrections, final submitted version |
| Databáze: | arXiv |
| Externí odkaz: |
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