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• W3100303822 abstract "What kind of reduced monomial schemes can be obtained as a Grobner degeneration of a smooth projective variety? Our conjectured answer is: only Stanley-Reisner schemes associated to acyclic Cohen-Macaulay simplicial complexes. This would imply, in particular, that only curves of genus zero have such a degeneration. We prove this conjecture for degrevlex orders, for elliptic curves over real number fields, for boundaries of cross-polytopes, and for leafless graphs. We discuss consequences for rational and F-rational singularities of algebras with straightening laws." @default.
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• W3100303822 date "2020-06-28" @default.
• W3100303822 modified "2023-10-16" @default.
• W3100303822 title "Singularities and radical initial ideals" @default.
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• W3100303822 doi "https://doi.org/10.1112/blms.12358" @default.
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