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Title:Minimal Volume K-Point Lattice D-Simplices
Author(s):Duong, Han
Doctoral Committee Chair(s):Reznick, Bruce
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:We begin by showing that minimal volume occurs if and only if the P is a lattice simplex (of dimension d ≠ 2) whose interior lattice points are collinear with a vertex of P. We then show that there can only be one such class of simplices with this property. Interestingly, this statement is not true for d = 2, and counterexamples are provided within.
Issue Date:2008
Type:Text
Language:English
Description:47 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.
URI:http://hdl.handle.net/2142/86907
Other Identifier(s):(MiAaPQ)AAI3337777
Date Available in IDEALS:2015-09-28
Date Deposited:2008


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