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- W4285019857 abstract "A generic polynomial f(x,y,z) with a prescribed Newton polytope defines a symmetric spatial curve f(x,y,z)=f(y,x,z)=0. We study its geometry: the number, degree and genus of its irreducible components, the number and type of singularities, etc. and discuss to what extent these results generalize to higher dimension and more complicated symmetries. As an application, we characterize generic one-parameter families of complex univariate polynomials, whose Galois group is a complete symmetric group." @default.
- W4285019857 created "2022-07-12" @default.
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- W4285019857 date "2022-07-08" @default.
- W4285019857 modified "2023-09-26" @default.
- W4285019857 title "Bernstein-Kouchnirenko-Khovanskii with a symmetry" @default.
- W4285019857 doi "https://doi.org/10.48550/arxiv.2207.03923" @default.
- W4285019857 hasPublicationYear "2022" @default.
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