A sparse overview on sparse resultants
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910022937608192 |
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| author | Checa, Carles Emiris, Ioannis Z. Konaxis, Christos |
| author_facet | Checa, Carles Emiris, Ioannis Z. Konaxis, Christos |
| contents | In this survey, we give an overview of advances in the theory and computation of sparse resultants. First, we examine the construction and proof of the Canny-Emiris formula, which gives a rational determinantal formula. Second, we discuss and compare the latter with the computation of the sparse resultant as the determinant of the Koszul complex given by $n + 1$ nef divisors in a toric variety. Finally, we cover techniques for computing the Newton polytope of sparse resultants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13039 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A sparse overview on sparse resultants Checa, Carles Emiris, Ioannis Z. Konaxis, Christos Algebraic Geometry In this survey, we give an overview of advances in the theory and computation of sparse resultants. First, we examine the construction and proof of the Canny-Emiris formula, which gives a rational determinantal formula. Second, we discuss and compare the latter with the computation of the sparse resultant as the determinant of the Koszul complex given by $n + 1$ nef divisors in a toric variety. Finally, we cover techniques for computing the Newton polytope of sparse resultants. |
| title | A sparse overview on sparse resultants |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.13039 |