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- W4313125613 abstract "It is known that the sectional genus of a polarized variety has an upper bound, which is an extension of the Castelnuovo bound on the genus of a projective curve. Polarized varieties whose sectional genus achieve this bound are called Castelnuovo. On the other hand, a lattice polytope is called Castelnuovo if the associated polarized toric variety is Castelnuovo. Kawaguchi characterized Castelnuovo polytopes having interior lattice points in terms of their h∗-vectors. In this paper, as a generalization of this result, we present a characterization of all Castelnuovo polytopes. Finally, as an application of our characterization, we give a sufficient criterion for a lattice polytope to be IDP." @default.
- W4313125613 created "2023-01-06" @default.
- W4313125613 creator A5089435507 @default.
- W4313125613 date "2022-01-01" @default.
- W4313125613 modified "2023-10-01" @default.
- W4313125613 title "Castelnuovo Polytopes" @default.
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- W4313125613 doi "https://doi.org/10.1307/mmj/20216027" @default.
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