论文标题
Castelnuovo多面体
Castelnuovo polytopes
论文作者
论文摘要
众所周知，偏光品种的截面属具有上限，这是在投射曲线属上结合的Castelnuovo的延伸。分节属实现该结合的偏振品种称为Castelnuovo。另一方面，如果相关的偏光曲面品种是Castelnuovo，则称为晶格多层。 Kawaguchi的特征是Castelnuovo多面有在其$ H^*$ - 矢量方面具有内部晶格点。在本文中，作为该结果的概括，将介绍所有Castelnuovo多面体的表征。最后，作为我们表征的应用，我们给出了足够的标准，即使晶格多型成为IDP。
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 achieves 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, a characterization of all Castelnuovo polytopes will be presented. Finally, as an application of our characterization, we give a sufficient criterion for a lattice polytope to be IDP.
