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arXiv · 1603.03708

A containment result in $\mathbb{P}^n$ and the Chudnovsky conjecture

Marcin Dumnicki·Halszka Tutaj-Gasinska
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Abstract

In the paper we prove the containment $I^{(nm)}\subset M^{(n-1)m}I^m$, for a radical ideal $I$ of $s$ general points in $\mathbb{P}^n$, where $s\geq 2^n$. As a corollary we get that the Chudnovsky Conjecture holds for a very general set of at least $2^n$ points in $\mathbb{P}^n$.

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Marcin Dumnicki, Halszka Tutaj-Gasinska. 2016-03-11. A containment result in $\mathbb{P}^n$ and the Chudnovsky conjecture. https://arxiv.org/abs/1603.03708

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