Resultants of slice regular polynomials in two quaternionic variables
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866910382596030464 |
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| author | Gori, Anna Sarfatti, Giulia Vlacci, Fabio |
| author_facet | Gori, Anna Sarfatti, Giulia Vlacci, Fabio |
| contents | We introduce a non-commutative resultant, for slice regular polynomials in two quaternionic variables, defined in terms of a suitable Dieudonné determinant.We use this tool to investigate the existence of common zeros of slice regular polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17019 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resultants of slice regular polynomials in two quaternionic variables Gori, Anna Sarfatti, Giulia Vlacci, Fabio Complex Variables 30G35, 16S36, 15A54 We introduce a non-commutative resultant, for slice regular polynomials in two quaternionic variables, defined in terms of a suitable Dieudonné determinant.We use this tool to investigate the existence of common zeros of slice regular polynomials. |
| title | Resultants of slice regular polynomials in two quaternionic variables |
| topic | Complex Variables 30G35, 16S36, 15A54 |
| url | https://arxiv.org/abs/2403.17019 |