97 citations · 523 across the 45 of their papers we have counts for
7 papers · 1 filter
Extreme values of the resurgence for homogeneous ideals in polynomial rings
Brian Harbourne, Jake Kettinger, Frank Zimmitti
We show that two ostensibly different versions of the asymptotic resurgence introduced by Guardo, Harbourne and Van Tuyl in 2013 are the same. We also show that the resurgence and…
The Waldschmidt constant for squarefree monomial ideals
Cristiano Bocci, Susan Cooper, Elena Guardo +6
Given a squarefree monomial ideal , we show that , the Waldschmidt constant of , can be expressed as the optimal solution to a li…
Inclics, galaxies, star configurations and Waldschmidt constants
Giuliana Fatabbi, Brian Harbourne, Anna Lorenzini
This paper introduces complexes of linear varieties, called inclics (for INductively Constructible LInear ComplexeS). As examples, we study galaxies (these are constructed starting…
Fat lines in P^3: powers versus symbolic powers
Elena Guardo, Brian Harbourne, Adam Van Tuyl
We study the symbolic and regular powers of ideals I for a family of special configurations of lines in P^3. For this family, we show that I^(m) = I^m for all integers m if and onl…
Symbolic powers versus regular powers of ideals of general points in P^1 x P^1
Elena Guardo, Brian Harbourne, Adam Van Tuyl
Recent work of Ein-Lazarsfeld-Smith and Hochster-Huneke raised the problem of which symbolic powers of an ideal are contained in a given ordinary power of the ideal. Bocci-Harbourn…
Are symbolic powers highly evolved?
Brian Harbourne, Craig Huneke
Searching for structural reasons behind old results and conjectures of Chudnovksy regarding the least degree of a nonzero form in an ideal of fat points in projective N-space, we m…