We consider here the problem, which is quite classical in Algebraic geometry, of studying
the secant varieties of a projective variety X. The case we concentrate on is when X is a …

We introduce the notion of an arithmetic matroid whose main example is a list of elements of
a finitely generated abelian group. In particular, we study the representability of its dual …

We introduce a multiplicity Tutte polynomial $ M (x, y) $, with applications to zonotopes and
toric arrangements. We prove that $ M (x, y) $ satisfies a deletion-restriction recursion and …

We degenerate Cox–Nagata rings to toric algebras by means of sagbi bases induced by
configurations over the rational function field. For del Pezzo surfaces, this degeneration …

Enumerative combinatorics is about counting. The typical question is to find the number of
objects with a given set of properties. However, enumerative combinatorics is not just about …

A wealth of geometric and combinatorial properties of a given linear endomorphism X of RN
is captured in the study of its associated zonotope Z (X), and, by duality, its associated …

Ideals generated by prescribed powers of linear forms have attracted a great deal of
attention recently. In this paper we study properties that hold when the linear forms are …

In this note we discuss an analog of the classical Waring problem for. Namely, we show that
a general homogeneous polynomial of degree divisible by k≥ 2 can be represented as a …

Ehrhart polynomial and arithmetic Tutte polynomial - ScienceDirect Skip to main contentSkip
to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …

We study Hilbert functions of certain non-reduced schemes A supported at finite sets of
points in PN, in particular, fat point schemes. We give combinatorially defined upper and …