58 citations · 166 across the 43 of their papers we have counts for
3 papers · 2 filters
Implicitization of tensor product surfaces via virtual projective resolutions
Eliana Duarte, Alexandra Seceleanu
We derive the implicit equations for certain parametric surfaces in three-dimensional projective space termed tensor product surfaces. Our method computes the implicit equation for…
Betti numbers of symmetric shifted ideals
Jennifer Biermann, Hernán De Alba, Federico Galetto +5
We introduce a new class of monomial ideals which we call symmetric shifted ideals. Symmetric shifted ideals are fixed by the natural action of the symmetric group and, within the…
Connected Sums of Graded Artinian Gorenstein Algebras and Lefschetz Properties
Anthony Iarrobino, Chris McDaniel, Alexandra Seceleanu
A connected sum construction for local rings was introduced in a paper by H. Ananthnarayan, L. Avramov, and W.F. Moore. In the graded Artinian Gorenstein case, this can be viewed a…