Castelnuovo Polytopes

被引:0
|
作者
Tsuchiya, Akiyoshi [1 ]
机构
[1] Toho Univ, Fac Sci, Dept Informat Sci, 2-2-1 Miyama, Funabashi, Chiba 2748510, Japan
关键词
D O I
10.1307/mmj/20216027
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 poly topes 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.
引用
收藏
页码:899 / 908
页数:10
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