A Characterization of Quasi-homogeneous Bivariate Polynomials
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913872523296768 |
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| author | Bradley-Williams, David Kovacsics, Pablo Cubides Halupczok, Immanuel |
| author_facet | Bradley-Williams, David Kovacsics, Pablo Cubides Halupczok, Immanuel |
| contents | If a reduced bivariate polynomial is quasi-homogeneous, then its discriminant is a monomial. Over fields of characteristic $0$, we show that if one adds another simple condition, this becomes an equivalence. We also give a third equivalent condition that is stated geometrically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05324 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Characterization of Quasi-homogeneous Bivariate Polynomials Bradley-Williams, David Kovacsics, Pablo Cubides Halupczok, Immanuel Commutative Algebra Primary 12E10, 12E05: Secondary 14C17 If a reduced bivariate polynomial is quasi-homogeneous, then its discriminant is a monomial. Over fields of characteristic $0$, we show that if one adds another simple condition, this becomes an equivalence. We also give a third equivalent condition that is stated geometrically. |
| title | A Characterization of Quasi-homogeneous Bivariate Polynomials |
| topic | Commutative Algebra Primary 12E10, 12E05: Secondary 14C17 |
| url | https://arxiv.org/abs/2403.05324 |