Graham positivity of triple Schubert calculus
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909645946224640 |
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| author | Gao, Yibo Xiong, Rui |
| author_facet | Gao, Yibo Xiong, Rui |
| contents | We prove Samuel's conjecture on certain Graham positivity of the expansion coefficient of two double Schubert polynomials in three sets of variables by establishing a refined version of Graham's positivity theorem. As a corollary, we prove Kirillov's conjecture on the positivity of skew divided difference operators applied to Schubert polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09421 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Graham positivity of triple Schubert calculus Gao, Yibo Xiong, Rui Combinatorics Algebraic Geometry We prove Samuel's conjecture on certain Graham positivity of the expansion coefficient of two double Schubert polynomials in three sets of variables by establishing a refined version of Graham's positivity theorem. As a corollary, we prove Kirillov's conjecture on the positivity of skew divided difference operators applied to Schubert polynomials. |
| title | Graham positivity of triple Schubert calculus |
| topic | Combinatorics Algebraic Geometry |
| url | https://arxiv.org/abs/2506.09421 |