24 citations · 68 across the 29 of their papers we have counts for
7 papers · 1 filter
Modular decomposition of the Orlik-Terao algebra of a hyperplane arrangement
Graham Denham, Mehdi Garrousian, Stefan Tohaneanu
Let A be a collection of n linear hyperplanes in k^l, where k is an algebraically closed field. The Orlik-Terao algebra of A is the subalgebra R(A) of the rational functions genera…
Finding Inverse Systems from Coordinates
Stefan O. Tohaneanu
Let be a homogeneous ideal in , such that is an Artinian Gorenstein ring. A famous theorem of Macaulay says that in this instance is the…
From Spline Approximation to Roth's Equation and Schur Functors
Jan Minac, Stefan O. Tohaneanu
Alfeld and Schumaker provide a formula for the dimension of the space of piecewise polynomial functions, called splines, of degree and smoothness on a generic triangulation…
Homology of Homogeneous Divisors
Aron Simis, Stefan O. Tohaneanu
One deals with arbitrary reduced free divisors in a polynomial ring over a field of characteristic zero, by stressing the ideal theoretic and homological behavior of the correspond…
A commutative algebraic approach to the fitting problem
Stefan O. Tohaneanu
Given a finite set of points in not all contained in a hyperplane, the "fitting problem" asks what is the maximum number of these points that can fit…
The minimum distance of sets of points and the minimum socle degree
Stefan O. Tohaneanu
Let be a field of characteristic 0. Let be a reduced finite set of points, not all contained in a hyperplane. Let be the maxi…