45 citations · 160 across the 27 of their papers we have counts for
4 papers · 2 filters
Maximum Waring ranks of monomials
Erik Holmes, Paul Plummer, Jeremy Siegert +1
We show that monomials and sums of pairwise coprime monomials in four or more variables have Waring rank less than the generic rank, with a short list of exceptions. We asymptotica…
Apolarity and direct sum decomposability of polynomials
Weronika Buczyńska, Jarosław Buczyński, Johannes Kleppe +1
A polynomial is a direct sum if it can be written as a sum of two non-zero polynomials in some distinct sets of variables, up to a linear change of variables. We analyze criteria f…
Software for multiplier ideals
Zach Teitler
We describe a new software package for computing multiplier ideals in certain cases, including monomial ideals, monomial curves, generic determinantal ideals, and hyperplane arrang…
Power sum decompositions of defining equations of reflection arrangements
Zach Teitler, Alexander Woo
We determine the Waring rank of the fundamental skew invariant of any complex reflection group whose highest degree is a regular number. This includes all irreducible real reflecti…