24 citations · 68 across the 29 of their papers we have counts for
6 papers · 1 filter
Logarithmic derivations associated to line arrangements
Ricardo Burity, Stefan Tohaneanu
In this paper we give full classification of rank 3 line arrangements in (over a field of characteristic 0) that have a minimal logarithmic derivation of degree 3. Th…
Equivalent matrices up to permutations
Stefan O. Tohaneanu, Jesus Vargas
Given two matrices and , we describe a couple of methods to solve the matrix equation , where is an invertible matrix, and is an $n\ti…
Free arrangements with low exponents
Stefan O. Tohaneanu
In this article we show that any free hyperplane arrangement with exponents 1's and 2's is a supersolvable arrangement. We conjecture that any free arrangement with exponents 1's,…
On the geometry of real or complex supersolvable line arrangements
Benjamin Anzis, Stefan Tohaneanu
Given a rank 3 real arrangement of lines in the projective plane, the Dirac-Motzkin conjecture (proved by Green and Tao in 2013) states that for sufficiently l…
Projective duality of arrangements with quadratic logarithmic vector fields
Stefan Tohaneanu
In these notes we study hyperplane arrangements having at least one logarithmic derivation of degree two that is not a combination of degree one logarithmic derivations. It is well…
Topological Criteria for Formal Arrangements
Stefan Ovidiu Tohaneanu
We prove a criterion for formality of arrangements, using a complex constructed from vector spaces introduced in \cite{bt}. As an application, we give a simple description of $…