K-polynomials of multiplicity-free varieties
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911000892014592 |
|---|---|
| author | Castillo, Federico Cid-Ruiz, Yairon Mohammadi, Fatemeh Montaño, Jonathan |
| author_facet | Castillo, Federico Cid-Ruiz, Yairon Mohammadi, Fatemeh Montaño, Jonathan |
| contents | We describe the twisted $K$-polynomial of multiplicity-free varieties in a multiprojective setting. More precisely, for multiplicity-free varieties, we show that the support of the twisted $K$-polynomial is a generalized polymatroid. As applications, we show that the support of the Möbius function of a linear polymatroid is a generalized polymatroid, and we settle a conjecture of Monical, Tokcan and Yong regarding Grothendieck polynomials for the case of zero-one Schubert polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_13091 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | K-polynomials of multiplicity-free varieties Castillo, Federico Cid-Ruiz, Yairon Mohammadi, Fatemeh Montaño, Jonathan Algebraic Geometry Commutative Algebra Combinatorics 14C17, 14M05, 14M15, 13H15, 52B40, 52B22 We describe the twisted $K$-polynomial of multiplicity-free varieties in a multiprojective setting. More precisely, for multiplicity-free varieties, we show that the support of the twisted $K$-polynomial is a generalized polymatroid. As applications, we show that the support of the Möbius function of a linear polymatroid is a generalized polymatroid, and we settle a conjecture of Monical, Tokcan and Yong regarding Grothendieck polynomials for the case of zero-one Schubert polynomials. |
| title | K-polynomials of multiplicity-free varieties |
| topic | Algebraic Geometry Commutative Algebra Combinatorics 14C17, 14M05, 14M15, 13H15, 52B40, 52B22 |
| url | https://arxiv.org/abs/2212.13091 |