70 citations · 116 across the 14 of their papers we have counts for
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math.AG2013★ 8 cited
A vanishing theorem and symbolic powers of planar point ideals
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasinska
The purpose of this note is twofold. We present first a vanishing theorem for families of linear series with base ideal being a fat points ideal. We apply then this result in order…
math.AG2013★ 70 cited
Counterexamples to the containment
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasinska
We show that in general the third symbolic power of a radical ideal of points in the complex projective plane is not contained in the second usual power of that ideal. This answers…