We prove a Cayley–Bacharach type theorem for points in projective space (Formula presented.) that lie on a complete intersection of (Formula presented.) hypersurfaces. This is made possible by new bounds on the growth of the Hilbert function of almost complete intersections.
A Cayley–Bacharach theorem for points in Pn
De Stefani A.
2021-01-01
Abstract
We prove a Cayley–Bacharach type theorem for points in projective space (Formula presented.) that lie on a complete intersection of (Formula presented.) hypersurfaces. This is made possible by new bounds on the growth of the Hilbert function of almost complete intersections.
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