24 citations · 68 across the 29 of their papers we have counts for
35 papers
Associated primes, witnesses, and omega invariants of monomial ideals
Jacob Miller, Mehrdad Nasernejad, Ştefan O. Tohǎneanu
We introduce and study the omega invariant of a proper ideal in a Noetherian commutative ring, defined as the number of associated primes of the ideal. Our main objective is to inv…
Betti numbers of fold products of linear forms
Ricardo Burity, Stefan Tohaneanu
The ideals generated by fold products of linear forms are generalizations of powers of defining ideals of star configurations, or of Veronese type ideals, and in this paper we stud…
Rose-Terao-Yuzvinsky theorem for reduced forms
Ricardo Burity, Zaqueu Ramos, Aron Simis +1
Yuzvinsky and Rose-Terao have shown that the homological dimension of the gradient ideal of the defining polynomial of a generic hyperplane arrangement is maximum possible. In this…
Generalized Hamming weights and minimal shifts of Orlik-Terao algebras
Stefan O. Tohaneanu
In this note we show that the minimum distance of a linear code equals one plus the smallest shift in the first step of the minimal graded free resolution of the Orlik-Terao algebr…
On the Jacobian ideal of central arrangements
Ricardo Burity, Aron Simis, Stefan Tohaneanu
Let denote a central hyperplane arrangement of rank in affine space over an infinite field and let $l_1,\ldots, l_m\in R:= \mathbb K[x…
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…