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A containment result in $\mathbb{P}^n$ and the Chudnovsky conjecture (1603.03708v2)
Published 11 Mar 2016 in math.AG
Abstract: In the paper we prove the containment $I{(nm)}\subset M{(n-1)m}Im$, for a radical ideal $I$ of $s$ general points in $\mathbb{P}n$, where $s\geq 2n$. As a corollary we get that the Chudnovsky Conjecture holds for a very general set of at least $2n$ points in $\mathbb{P}n$.
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