卡斯特诺沃多面体

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2023-11-01 DOI:10.1307/mmj/20216027

Akiyoshi Tsuchiya

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引用次数: 0

摘要

已知偏振型的截面格有一个上界，这个上界是投影曲线格上Castelnuovo界的推广。截面属达到这一界限的极化品种称为Castelnuovo。另一方面，如果一个晶格多面体对应的极化环变体是Castelnuovo，则该多面体称为Castelnuovo。Kawaguchi根据其h * -向量描述了具有内部点阵点的Castelnuovo多面体。在本文中，作为这一结果的推广，我们给出了所有Castelnuovo多面体的表征。最后，作为我们性质的一个应用，我们给出了晶格多面体是IDP的一个充分判据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Castelnuovo Polytopes

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.

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.