13 citations · 64 across the 24 of their papers we have counts for
26 papers
Degrees of regular sequences with a symmetric group action
Federico Galetto, Anthony V. Geramita, David L. Wehlau
We consider ideals in a polynomial ring that are generated by regular sequences of homogeneous polynomials and are stable under the action of the symmetric group permuting the vari…
The symbolic defect of an ideal
Federico Galetto, Anthony V. Geramita, Yong-Su Shin +1
Let be a homogeneous ideal of . To compare , the -th symbolic power of , with , the regular -th power, we introduce the -th sym…
Symmetric Complete Intersections
Federico Galetto, Anthony V. Geramita, David L. Wehlau
We consider complete intersection ideals in a polynomial ring over a field of characteristic zero that are stable under the action of the symmetric group permuting the variables. W…
Waring-like decompositions of polynomials - 1
Maria Virginia Catalisano, Luca Chiantini, Anthony V. Geramita +1
Let be a homogeneous form of degree in variables. A Waring decomposition of is a way to express as a sum of powers of linear forms. In this paper we co…
Matroid configurations and symbolic powers of their ideals
A. V. Geramita, B. Harbourne, J. Migliore +1
Star configurations are certain unions of linear subspaces of projective space that have been studied extensively. We develop a framework for studying a substantial generalization,…
Symmetric tensors: rank, Strassen's conjecture and e-computability
E. Carlini, M. V. Catalisano, L. Chiantini +2
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric tensors. We also introduce the notion of -computability and we use it to prove t…