The h-vector of a Positroid is a pure O-sequence
| Autor: | He, Amy, Lai, Pierce, Oh, SuHo |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A well-known conjecture of Stanley is that the h-vector of any matroid is a pure O-sequence. There have been numerous papers with partial progress on this conjecture, but it is still wide open. Positroids are special class of linear matroids that play a crucial role in the field of total positivity. In this short note, we prove that Stanley's conjecture holds for positroids. Comment: 9 pages, 3 figures |
| Databáze: | arXiv |
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