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- W3204886522 abstract "An m-dimensional simplex ∆ in R m is called empty lattice simplex if ∆ ∩ Z m is exactly the set of vertices of ∆. A theorem of White states that if m = 3 then, up to an affine unimodular transformation of the lattice Z m , any empty lattice simplex ∆ ⊂ R 3 is isomorphic to a tetrahedron whose vertices have third coordinate 0 or 1. In this paper, we prove a generalization of this theorem for some special empty lattice simplices of arbitrary odd dimension m = 2d − 1 which was conjectured by Seb˝ o and Borisov. Our result implies a classification of all 2d-dimensional isolated Gorenstein cyclic quotient singularities with minimal log-discrepancy ≥ d." @default.
- W3204886522 created "2021-10-11" @default.
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- W3204886522 date "2021-06-12" @default.
- W3204886522 modified "2023-10-16" @default.
- W3204886522 title "A generalization of a theorem of White" @default.
- W3204886522 hasPublicationYear "2021" @default.
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