Integer points in convex polyhedra

Known as: Integer points in a convex polyhedron, Z-polyhedra, Integer points in convex polyhedron

Study of integer points in convex polyhedra is motivated by the questions, such as "how many nonnegative integer-valued solutions does a system of…

Papers overview

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2018

Let $X$ be the family of hypersurfaces in the odd-dimensional torus ${\mathbb T}^{2n+1}$ defined by a Laurent polynomial $f$ with…

2017

Let C be a smooth projective curve in P 1 × P 1 of genus g (cid:2)= 4, and assume that it is birationally equivalent to a curve…

2016

In mobile stereo camera systems, constructing the 3-D surroundings was one of very important processes for safety navigation, but…

2014

The aim of this thesis is to generalise Reid's recipe as first defined by Reid for $G-\Hilb(\mathbb{C}^3)$ ($G$ a finite abelian…

2010

In an United States presidential election each state has a certain amount of electors. The candidate who obtains the most popular…

2008

We extend the results of Bey, Hen, and Wills (this http URL). In this paper, we show that, up to equivalence under unimodular…

1998

The Pick's theorem is one of the rare gems of elementarymathematics because this is a very innocent sounding hypothesisimply a…

1996

ALPHA is a functional language based on systems of affine recurrence equations over polyhedral domains. We present an extension…

1992

Given a polyhedronP⊂ℝ we writePI for the convex hull of the integral points inP. It is known thatPI can have at most135-2…

1991

Some reductions of the computational problem of counting all the integer lattice points in an arbitrary convex polyhedron in a…