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arXiv · 2511.22113

The Cayley-Bacharach property and the Levinson-Ullery conjecture

Ngoc Long Le·Tran N. K. Linh
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Abstract

In this paper, we study the geometric configurations of a finite set of points having the Cayley-Bacharach property in the $n$-dimensional projective space $\bbP^n$. Our main contribution is the proof of the Levinson-Ullery conjecture for the previously unsolved case where $d=4$ and $r\ge 1$.

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Ngoc Long Le, Tran N. K. Linh. 2025-12-02. The Cayley-Bacharach property and the Levinson-Ullery conjecture. https://arxiv.org/abs/2511.22113

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