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arXiv · 2403.05324

A Characterization of Quasi-homogeneous Bivariate Polynomials

David Bradley-Williams·Pablo Cubides Kovacsics·Immanuel Halupczok
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Abstract

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.

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David Bradley-Williams, Pablo Cubides Kovacsics, Immanuel Halupczok. 2024-03-08. A Characterization of Quasi-homogeneous Bivariate Polynomials. https://doi.org/10.2140/pjm.2025.337.201

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