3 citations · 4 across the 6 of their papers we have counts for
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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…
On a conjecture of Vasconcelos
Ricardo Burity, Aron Simis, Stefan Tohaneanu
One studies the structure of the Rees algebra of an almost complete intersection monomial ideal of finite co-length in a polynomial ring over a field, assuming that the least pure…
The ubiquity of Sylvester forms in almost complete intersections
Aron Simis, Stefan Tohaneanu
The subject matter is the structure of the Rees algebra of almost complete intersection ideals of finite colength in low-dimensional polynomial rings over fields. The main tool is…
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…
On freeness of divisors on
Stefan O. Tohaneanu
Let be an ideal of height 2 and minimally generated by three homogeneous polynomials of the same degree. If is a locally complete intersection we gi…