Title
The H*-Polynomials Of Locally Anti-Blocking Lattice Polytopes And Their Gamma-Positivity
Abstract
A lattice polytope P subset of R-d is called a locally anti-blocking polytope if for any closed orthant R-epsilon(d) inR(d) ,P boolean AND R epsilon d is unimodularly equivalent to an anti-blocking polytope by reflections of coordinate hyperplanes. We give a formula for the h*-polynomials of locally anti-blocking lattice polytopes. In particular, we discuss the gamma-positivity ofh*-polynomials of locally anti-blocking reflexive polytopes.
Year
DOI
Venue
2021
10.1007/s00454-020-00236-6
DISCRETE & COMPUTATIONAL GEOMETRY
Keywords
DocType
Volume
Lattice polytope, Unconditional polytope, Anti-blocking polytope, Locally anti-blocking polytope, Reflexive polytope, h*-polynomial, g-positive
Journal
66
Issue
ISSN
Citations 
2
0179-5376
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Hidefumi Ohsugi12710.42
akiyoshi tsuchiya213.12