On the Dedekind different of a Cayley-Bacharach scheme

Martin Kreuzer, Tran N. K. Linh, Le Ngoc Long

Given a 0-dimensional scheme $\mathbb{X}$ in a projective space ${\mathbb{P}}_K^n$ over a field $K$, we characterize the Cayley-Bacharach property of $\mathbb{X}$ in terms of the alg…