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arXiv · 2006.14717

A Cayley-Bacharach theorem for points in $\mathbb{P}^n$

Giulio Caviglia·Alessandro De Stefani
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Abstract

We prove a Cayley-Bacharach-type theorem for points in projective space $\mathbb{P}^n$ that lie on a complete intersection of $n$ hypersurfaces. This is made possible by new bounds on the growth of the Hilbert function of almost complete intersections.

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Giulio Caviglia, Alessandro De Stefani. 2020-06-25. A Cayley-Bacharach theorem for points in $\mathbb{P}^n$. https://doi.org/10.1112/blms.12492

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