A Cayley--Bacharach theorem and plane configurations

In this paper, we examine linear conditions on finite sets of points in projective space implied by the Cayley–Bacharach condition. In particular, by bounding the number of points satisfying the Cayley–Bacharach condition, we force them to lie on unions of low-dimensional linear spaces. These result...

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Veröffentlicht in:	Proceedings of the American Mathematical Society 2022-11, Vol.150 (11), p.4603-4618
Hauptverfasser:	Levinson, Jake, Ullery, Brooke
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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