Multiples of lattice polytopes

2009 ◽  
pp. 91-119
Author(s):  
Winfried Bruns ◽  
Joseph Gubeladze
Keyword(s):  
Lattice Polytopes

Polytopes and 𝐾-Theory

2004 ◽  
Vol 11 (4) ◽  
pp. 655-670
Author(s):  
W. Bruns ◽  
J. Gubeladze
Keyword(s):  
Lattice Polytopes ◽  
Unit Simplex

Abstract This is an overview of results from our experiment of merging two seemingly unrelated disciplines – higher algebraic 𝐾-theory of rings and the theory of lattice polytopes. The usual 𝐾-theory is the “theory of a unit simplex”. A conjecture is proposed on the structure of higher polyhedral 𝐾-groups for certain class of polytopes for which the coincidence of Quillen's and Volodin's theories is known.

scholarly journals Multiples of Lattice Polytopes without Interior Lattice Points

2007 ◽  
Vol 7 (2) ◽  
pp. 195-207 ◽  
Author(s):  
V. Batyrev ◽  
B. Nill
Keyword(s):  
Lattice Points ◽  
Lattice Polytopes

scholarly journals Lattice polytopes, Hecke operators, and the Ehrhart polynomial

2007 ◽  
Vol 13 (2) ◽  
pp. 253-276 ◽  
Author(s):  
Paul E. Gunnells ◽  
Fernando Rodriguez Villegas
Keyword(s):  
Hecke Operators ◽  
Ehrhart Polynomial ◽  
Lattice Polytopes

scholarly journals Distance between vertices of lattice polytopes

2018 ◽  
Vol 14 (2) ◽  
pp. 309-326 ◽  
Author(s):  
Anna Deza ◽  
Antoine Deza ◽  
Zhongyan Guan ◽  
Lionel Pournin
Keyword(s):  
Lattice Polytopes

scholarly journals The Mixed Degree of Families of Lattice Polytopes

2020 ◽  
Vol 24 (1) ◽  
pp. 203-216 ◽  
Author(s):  
Benjamin Nill
Keyword(s):  
Lattice Polytopes

scholarly journals Projecting Lattice Polytopes Without Interior Lattice Points

2011 ◽  
Vol 36 (3) ◽  
pp. 462-467 ◽  
Author(s):  
Benjamin Nill ◽  
Günter M. Ziegler
Keyword(s):  
Lattice Points ◽  
Lattice Polytopes

scholarly journals Exact Euler–Maclaurin formulas for simple lattice polytopes

2007 ◽  
Vol 39 (1) ◽  
pp. 1-50 ◽  
Author(s):  
Yael Karshon ◽  
Shlomo Sternberg ◽  
Jonathan Weitsman
Keyword(s):  
Lattice Polytopes ◽  
Simple Lattice

scholarly journals Volumes of Convex Lattice Polytopes and A Question of V. I. Arnold

2014 ◽  
Vol 144 (1) ◽  
pp. 119-131
Author(s):  
I. Bárány ◽  
L. Yuan
Keyword(s):  
Lattice Polytopes ◽  
Convex Lattice ◽  
Convex Lattice Polytopes
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