[BOOK][B] Undergraduate Texts in Mathematics
In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …
[BOOK][B] Computing the continuous discretely: Integer-point enumeration in polyhedra
The world is continuous, but the mind is discrete. David Mumford We seek to bridge some
critical gaps between various? elds of mathematics by studying the interplay between the …
critical gaps between various? elds of mathematics by studying the interplay between the …
[BOOK][B] Algebraic and geometric ideas in the theory of discrete optimization
It is undeniable that geometric ideas have been very important to the foundations of modern
discrete optimization. The influence that geometric algorithms have in optimization was …
discrete optimization. The influence that geometric algorithms have in optimization was …
[BOOK][B] Topics in hyperplane arrangements, polytopes and box-splines
C De Concini, C Procesi - 2010 - books.google.com
Topics in Hyperplane Arrangements, Polytopes and Box-Splines brings together many
areas of research that focus on methods to compute the number of integral points in suitable …
areas of research that focus on methods to compute the number of integral points in suitable …
Kostant partitions functions and flow polytopes
W Baldoni, M Vergne - Transformation Groups, 2008 - Springer
This paper discusses volumes and Ehrhart polynomials in the context of flow polytopes. The
general approach that studies these functions via rational functions with poles on …
general approach that studies these functions via rational functions with poles on …
On the geometry of toric arrangements
C De Concini, C Procesi - Transformation Groups, 2005 - Springer
ON THE GEOMETRY OF TORIC ARRANGEMENTS Page 1 Transformation Groups, Vol. 10,
No. 3&4, 2005, pp. 387–422 cOBirkhäuser Boston (2005) ON THE GEOMETRY OF TORIC …
No. 3&4, 2005, pp. 387–422 cOBirkhäuser Boston (2005) ON THE GEOMETRY OF TORIC …
The many aspects of counting lattice points in polytopes
JA De Loera - Mathematische Semesterberichte, 2005 - Springer
A wide variety of topics in pure and applied mathematics involve the problem of counting the
number of lattice points inside a convex bounded polyhedron, for short called a polytope …
number of lattice points inside a convex bounded polyhedron, for short called a polytope …
Applications of equivariant cohomology
M Vergne - arxiv preprint math/0607389, 2006 - arxiv.org
We will discuss the equivariant cohomology of a manifold endowed with the action of a Lie
group. Localization formulae for equivariant integrals are explained by a vanishing theorem …
group. Localization formulae for equivariant integrals are explained by a vanishing theorem …
Counting integer flows in networks
This paper discusses analytic algorithms and software for the enumeration of all integer
flows inside a network. Concrete applications abound in graph theory, representation theory …
flows inside a network. Concrete applications abound in graph theory, representation theory …
Vertices of Gelfand--Tsetlin Polytopes
This paper is a study of the polyhedral geometry of Gelfand–Tsetlin polytopes arising in the
representation theory of \frakgl_n\BbbC and algebraic combinatorics. We present a …
representation theory of \frakgl_n\BbbC and algebraic combinatorics. We present a …