3 citations · 5 across the 15 of their papers we have counts for
20 papers
Numerical invariants for three-generated ideals
Marcos Jardim, Felipe Monteiro, Abbas Nasrollah Nejad +1
We study numerical invariants of homogeneous ideals generated by three forms, with particular emphasis on the interaction between the initial degree of the syzygy module, the multi…
The structure of almost Cohen-Macaulay -generated ideals of codimension in terms of matrix theory
Ricardo Burity, Thiago Fiel, Zaqueu Ramos +1
Let be a standard graded polynomial ring over a field . The paper focuses on homogeneous ideals of codimension generated by three forms of the same degree…
Additions to a theorem of Morey-Ulrich
Thiago Fiel, Zaqueu Ramos, Aron Simis
Let denote a standard graded polynomial ring over an algebraically closed field , and let be a perfect ideal of codimension with an $n…
Cohen--Macaulay ideals of codimension two and the geometry of plane points
Dayane Lira, Geisa Oliveira, Zaqueu Ramos +1
We consider classes of codimension two Cohen--Macaulay ideals over a standard graded polynomial ring over a field. We revisit Vasconcelos' problem on matrices with homo…
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…
Matrices over polynomial rings approached by commutative algebra
Zaqueu Ramos, Aron Simis
The main goal of the paper is the discussion of a deeper interaction between matrix theory over polynomial rings over a field and typical methods of commutative algebra and related…
Free divisors, blowup algebras of Jacobian ideals, and maximal analytic spread
Ricardo Burity, Cleto B. Miranda-Neto, Zaqueu Ramos
Free divisors form a celebrated class of hypersurfaces which has been extensively studied in the past fifteen years. Our main goal is to introduce four new families of homogeneous…
De Jonquières transformations in arbitrary dimension. An ideal theoretic view
Zaqueu Ramos, Aron Simis
A generalization of the plane de Jonquières transformation to arbitrary dimension is studied, with an eye for the ideal theoretic side. In particular, one considers structural prop…
Equigenerated ideals of analytic deviation one
Zaqueu Ramos, Aron Simis
The overall goal is to approach the Cohen--Macaulay property of the special fiber of an equigenerated homogeneous ideal in a standard graded ring over an infin…
Coordinate sections of generic Hankel matrices
Rainelly Cunha, Maral Mostafazadehfard, Zaqueu Ramos +1
One deals with degenerations by coordinate sections of the square generic Hankel matrix over a field of characteristic zero, along with its main related structures, such as the…
Equigenerated Gorenstein ideals of codimension three
Dayane Lira, Zaqueu Ramos, Aron Simis
We focus on the structure of a homogeneous Gorenstein ideal of codimension three in a standard polynomial ring $R=\kk[x_1,\ldots,x_n]$ over a field $\kk$, assuming that is…
Symmetry preserving degenerations of the generic symmetric matrix
Rainelly Cunha, Zaqueu Ramos, Aron Simis
One considers certain degenerations of the generic symmetric matrix over a field of characteristic zero and the main structures related to the determinant of the matrix, su…
Linearly presented perfect ideals of codimension in three variables
André Dória, Zaqueu Ramos, Aron Simis
The goal of this paper is the fine structure of the ideals in the title, with emphasis on the properties of the associated Rees algebra and the special fiber. The watershed between…
Homaloidal nets and ideals of fat points II: subhomaloidal nets
Zaqueu Ramos, Aron Simis
This paper is a natural sequel to [22] in that it tackles problems of the same nature. Here one aims at the ideal theoretic and homological properties of a class of ideals of gener…
Degenerations of the generic square matrix. Polar map and determinantal structure
Rainelly Cunha, Zaqueu Ramos, Aron Simis
One studies certain degenerations of the generic square matrix over a field along with its main related structures, such as the determinant of the matrix, the ideal generated b…
An analogue of the Aluffi algebra for modules
Zaqueu Ramos, Aron Simis
P. Aluffi introduced in [1] a new graded algebra in order to conveniently express characteristic cycles in the theory of singular varieties. This algebra is attached to a surjectiv…
Homaloidal nets and ideals of fat points I
Zaqueu Ramos, Aron Simis
One considers plane Cremona maps with proper base points and the {\em base ideal} generated by the linear system of forms defining the map. The object of this work is the interweav…
A theorem about Cremona maps and symbolic Rees algebras
Barbara Costa, Zaqueu Ramos, Aron Simis
This work is about the structure of the symbolic Rees algebra of the base ideal of a Cremona map. We give sufficient conditions under which this algebra has the "expected form" in…
On catalecticant perfect ideals of codimension 2
A. Simis, Z. Ramos
One deals with catalectic codimension two perfect ideals and certain degenerations thereof, with a view towards the nature of their symbolic powers. In the spirit of [10] one consi…
Symbolic powers of perfect ideals of codimension 2 and birational maps
Aron Simis, Zaqueu Ramos
This work is about symbolic powers of codimension two perfect ideals in a standard polynomial ring over a field, where the entries of the corresponding presentation matrix are gene…