A Cayley-Bacharach theorem for points in $\mathbb{P}^n$
Algebraic Geometry
2021-09-17 v2 Commutative Algebra
Abstract
We prove a Cayley-Bacharach-type theorem for points in projective space that lie on a complete intersection of hypersurfaces. This is made possible by new bounds on the growth of the Hilbert function of almost complete intersections.
Cite
@article{arxiv.2006.14717,
title = {A Cayley-Bacharach theorem for points in $\mathbb{P}^n$},
author = {Giulio Caviglia and Alessandro De Stefani},
journal= {arXiv preprint arXiv:2006.14717},
year = {2021}
}
Comments
12 pages, 1 figure. Minor modifications, citations added, acknowledged a result which was known in the literature