10 citations · 25 across the 21 of their papers we have counts for
28 papers
A study of maximal shifts in the minimal graded free resolution of the residue field
Dinesh Limbu, Liana M. Şega, Adela Vraciu
We study two invariants, rate and slant, that describe the extremal behavior of the maximal shifts in the minimal free resolution of the residue field over a standard graded algebr…
The generators of a colon ideal with an application to the weak Lefschetz property for monomial almost complete intersections in three variables
Matthew Davidson Booth, Adela Vraciu
Much progress has been made in classifying when the weak Lefschetz property holds for where and $I=(x^{d_{1}},y^{d_{2}},z^{d_{3}…
On the weak Lefschetz property for ideals generated by powers of general linear forms
Matthew D. Booth, Pankaj Singh, Adela Vraciu
We provide a description of initial ideals for almost complete intersections generated by powers of general linear forms and prove that WLP in a fixed degree holds when the num…
Rings for which general linear forms are exact zero divisors
Ayden Eddings, Adela Vraciu
We investigate the standard graded -algebras over a field of characteristic zero for which general linear forms are exact zero divisors. We formulate a conjecture regarding…
Values of the F-pure threshold for homogeneous polynomials
Karen E. Smith, Adela Vraciu
We find a formula, in terms of n, d and p, for the value of the F-pure threshold for the generic homogeneous polynomial of degree d in n variables over an algebraically closed fiel…
Classification of Frobenius Forms in five variables
Zhibek Kadyrsizova, Janet Page, Jyoti Singh +3
We classify Frobenius forms, a special class of homogeneous polynomials in characteristic , in up to five variables over an algebraically closed field. We also point out some…