6 citations · 12 across the 15 of their papers we have counts for
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Some Remarks on Hessians and Wronskians
Chris McDaniel
The purpose of this note is to elaborate on the apparent connection between Wronskians and Hessians. More generally, to a given subspace of homogeneous bivariate forms over the com…
Lattice Paths, Lefschetz Properties, and Almkvist's Conjecture in Two Variables
Nancy Abdallah, Chris McDaniel
We study a certain two-parameter family of non-standard graded complete intersections . In case , we show that has the strong Lefschetz property and the compl…
Higher Lorentzian Polynomials, Higher Hessians, and the Hodge-Riemann Property for Graded Oriented Artinian Gorenstein Algebras in Codimension Two
Pedro Macias Marques, Chris McDaniel, Alexandra Seceleanu +1
A (standard graded) oriented Artinian Gorenstein algebra over the real numbers is uniquely determined by a real homogeneous polynomial called its Macaulay dual generator. We study…
Cohomological Blow Ups of Graded Artinian Gorenstein Algebras Along Surjective Maps
Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel +2
We introduce the cohomological blow up of a graded Artinian Gorenstein (AG) algebra along a surjective map, which we term BUG (Blow Up Gorenstein) for short. This is intended to tr…
Principal Radical Systems, Lefschetz Properties and Perfection of Specht Ideals of Two-Rowed Partitions
Chris McDaniel, Junzo Watanabe
We show that the Specht ideal of a two-rowed partition is perfect over an arbitrary field, provided that the characteristic is either zero or bounded below by the size of the secon…
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…