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	On the classification of convex lattice polytopes (II)
	Zong, Chuanming
	2014
关键词	FINITE-GROUPS POINTS MATRICES NUMBER
英文摘要	In 1980, V. I. Arnold studied the classification problem for convex lattice polygons of given area. Since then this problem and its analogues have been studied by several authors, upper bounds for the numbers of non-equivalent d-dimensional convex lattice polytopes of given volume or fixed number of lattice points have been achieved. In this paper, by introducing and studying the unimodular groups acting on convex lattice polytopes, we obtain a lower bound for the number of non-equivalent d-dimensional centrally symmetric convex lattice polytopes of given number of lattice points, which is essentially tight.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000334587600004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 0; ARTICLE; cmzong@math.pku.edu.cn; 2; 239-252; 14
语种	英语
出处	SCI
出版者	advances in geometry
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314284]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zong, Chuanming. On the classification of convex lattice polytopes (II). 2014-01-01.

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