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

Published 25 Jun 2020 in math.AG and math.AC | (2006.14717v2)

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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