7 citations · 32 across the 15 of their papers we have counts for
19 papers
Simplicial complexes and matroids with vanishing
Alexandru Constantinescu, Patricia Klein, Thai Thanh Nguyen +2
We investigate quotients by radical monomial ideals for which , the second cotangent cohomology module, vanishes. The dimension of the graded components of , and thus the…
The first Cotangent Cohomology Module for Matroids
William Bitsch, Alexandru Constantinescu
We find a combinatorial formula which computes the first cotangent cohomology module of Stanley-Reisner rings associated to matroids. For arbitrary simplicial complexes we provide…
Versality in toric geometry
Klaus Altmann, Alexandru Constantinescu, Matej Filip
We study deformations of affine toric varieties. The entire deformation theory of these singularities is encoded by the so-called versal deformation. The main goal of our paper is…
Polyhedra, lattice structures, and extensions of semigroups
Klaus Altmann, Alexandru Constantinescu, Matej Filip
For an arbitrary rational polyhedron we consider its decompositions into Minkowski summands and, dual to this, the free extensions of the associated pair of semigroups. Being free…
Singularities and radical initial ideals
Alexandru Constantinescu, Emanuela De Negri, Matteo Varbaro
What kind of reduced monomial schemes can be obtained as a Gröbner degeneration of a smooth projective variety? Our conjectured answer is: only Stanley-Reisner schemes associated t…
Gorenstein liaison for toric ideals of graphs
Alexandru Constantinescu, Elisa Gorla
A central question in liaison theory asks whether every Cohen-Macaulay, graded ideal of a standard graded K-algebra belongs to the same G-liaison class of a complete intersection.…