Polynomial systems admitting a simultaneous solution
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866915099738898432 |
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| author | Conner, Austin Michalek, Mateusz Schindler, Michael Szendroi, Balazs |
| author_facet | Conner, Austin Michalek, Mateusz Schindler, Michael Szendroi, Balazs |
| contents | We provide a complete description of the ideal that serves as the resultant ideal for n univariate polynomials of degree d. We in particular describe a set of generators of this resultant ideal arising as maximal minors of a set of cascading matrices formed from the coefficients of the polynomials, generalising the classical Sylvester resultant of two polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_02085 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Polynomial systems admitting a simultaneous solution Conner, Austin Michalek, Mateusz Schindler, Michael Szendroi, Balazs Commutative Algebra Algebraic Geometry 14A25, 13P10 We provide a complete description of the ideal that serves as the resultant ideal for n univariate polynomials of degree d. We in particular describe a set of generators of this resultant ideal arising as maximal minors of a set of cascading matrices formed from the coefficients of the polynomials, generalising the classical Sylvester resultant of two polynomials. |
| title | Polynomial systems admitting a simultaneous solution |
| topic | Commutative Algebra Algebraic Geometry 14A25, 13P10 |
| url | https://arxiv.org/abs/2306.02085 |