Supernormal Vector Configurations

  title={Supernormal Vector Configurations},
  author={Serkan Hosten},
A configuration of lattice vectors is supernormal if it contains a Hilbert basis for every pointed cone spanned by a subset. We study such configurations from various perspectives, including triangulations, integer programming and Gröbner bases. Our main result is a bijection between virtual chambers of the configuration and virtual initial ideals of the associated binomial ideal. 

From This Paper

Figures, tables, and topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 10 references

The Vertex Ideal of a Lattice

Serkan Hos¸ten, Diane Maclagan
View 2 Excerpts
Highly Influenced

Gröbner Deformations of Hypergeometric Differential Equations

M. Saito, B. Sturmfels, N. Takayama

Theory of linear and integer programming

Wiley-Interscience series in discrete mathematics and optimization • 1999
View 2 Excerpts

Gröbner Bases and Convex Polytopes

B. Sturmfels
American Mathematical Society, Providence, • 1996
View 1 Excerpt

The polytope of all triangulations of a point configuration,

J. A. de Loera, S. Hoşten, F. Santos, B. Sturmfels
Documenta Mathematica • 1996
View 2 Excerpts

Lectures on Polytopes

G. Ziegler

Constructions and complexity of secondary polytopes,

L. J. Billera, P. Filliman, B. Sturmfels
Advances in Mathematics • 1990
View 1 Excerpt

Similar Papers

Loading similar papers…