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A characterization of
quasihomogeneous bivariate polynomials
David Bradley-Williams, Pablo Cubides Kovacsics and Immanuel Halupczok |
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Vol. 337 (2025), No. 2, 201–214
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Abstract |
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If a reduced bivariate polynomial is quasihomogeneous, then its discriminant is a monomial. Over fields of characteristic , we show that if one adds another simple condition, this becomes an equivalence. We also give a third equivalent condition that is stated geometrically. |
Keywords
quasihomogeneous, discriminant, resultant,
Bernstein–Kouchnirenko, weighted homogeneous
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Mathematical Subject Classification
Primary: 12E05, 12E10
Secondary: 14C17
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Milestones
Received: 31 July 2024
Revised: 10 April 2025
Accepted: 10 May 2025
Published: 3 June 2025
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Authors |
| David Bradley-Williams | |
| Institute of Mathematics Czech Academy of Sciences Prague Czech Republic |
Computer Science Institute Charles University Prague Czech Republic |
| Pablo Cubides Kovacsics | |
| Departamento de Matemáticas Universidad de los Andes Bogotá Colombia |
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| Immanuel Halupczok | |
| Mathematisches Institut Heinrich-Heine-Universität Düsseldorf Duesseldorf Germany |
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| © 2025 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
