Toric Degenerations of Low Degree Hypersurfaces
Canadian Mathematical Bulletin（2023）
Abstract
We show that a sufficiently general hypersurface of degree $d$ in $n$-dimensional projective space admits a toric Gr\"obner degeneration if and only if $d\leq 2n-1$.
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Key words
Toric degeneration, hypersurfaces, Khovanskii basis
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