Multigraded Hurwitz forms
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866908848544022528 |
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| author | Pratt, Elizabeth Sodomaco, Luca Sturmfels, Bernd |
| author_facet | Pratt, Elizabeth Sodomaco, Luca Sturmfels, Bernd |
| contents | The Hurwitz form of a projective variety characterizes linear spaces of complementary dimension which meet the variety non-transversally. We extend this notion to varieties in a product of projective spaces. This parallels the multigraded Chow forms due to Osserman and Trager. We study the degrees of multigraded Hurwitz forms. An explicit degree formula is given for complete intersections. This offers a new tool for elimination theory that has many applications, ranging from Nash equilibria to Feynman integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19563 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multigraded Hurwitz forms Pratt, Elizabeth Sodomaco, Luca Sturmfels, Bernd Algebraic Geometry The Hurwitz form of a projective variety characterizes linear spaces of complementary dimension which meet the variety non-transversally. We extend this notion to varieties in a product of projective spaces. This parallels the multigraded Chow forms due to Osserman and Trager. We study the degrees of multigraded Hurwitz forms. An explicit degree formula is given for complete intersections. This offers a new tool for elimination theory that has many applications, ranging from Nash equilibria to Feynman integrals. |
| title | Multigraded Hurwitz forms |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.19563 |