4 papers
Shuffling the Deck: Invariant Theory and the Graph Reconstruction Conjecture
Emilie Dufresne, Gabriela Jeronimo, Jenny Kenkel +2
The graph reconstruction conjecture asserts that every simple graph on at least three vertices is uniquely determined by its deck of vertex-deleted subgraphs. In this expository ar…
Gorenstein Special Fiber Rings of Ladder Determinantal Modules
Louiza Fouli, Kuei-Nuan Lin, Haydee Lindo +1
A ladder determinantal module is an arbitrary direct sum of ideals of maximal minors of a generic ladder matrix. In this article, we give necessary and sufficient conditions for th…
Trace does not preserve Reflexivity
Haydee Lindo, Sarasij Maitra, William Zhang
In this note, we address a question raised in a recent work by Dao-Maitra-Sridhar, regarding the preservation of reflexivity under taking trace. We answer this question negatively.…
Algebraic invariants of the special fiber ring of ladder determinantal modules
Alessandra Costantini, Louiza Fouli, Kriti Goel +4
We provide explicit formulas for key invariants of special fiber rings of ladder determinantal modules, that is, modules that are direct sums of ideals of maximal minors of a ladde…