97 citations · 523 across the 45 of their papers we have counts for
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Linear subspaces, symbolic powers and Nagata type conjectures
Marcin Dumnicki, Brian Harbourne, Tomasz Szemberg +1
Prompted by results of Guardo, Van Tuyl and the second author for lines in projective 3 space, we develop asymptotic upper bounds for the least degree of a homogeneous form vanishi…
Asymptotic resurgences for ideals of positive dimensional subschemes of projective space
Elena Guardo, Brian Harbourne, Adam Van Tuyl
Recent work of Ein-Lazarsfeld-Smith and Hochster-Huneke raised the problem of determining which symbolic powers of an ideal are contained in a given ordinary power of the ideal. Bo…
Variations on Nagata's Conjecture
C. Ciliberto, B. Harbourne, R. Miranda +1
In this paper we discuss some variations of Nagata's conjecture on linear systems of plane curves. The most relevant concerns non-effectivity (hence nefness) of certain rays, which…