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arXiv · 1904.00703

An application of Liaison theory to zero-dimensional schemes

Martin Kreuzer·Tran N. K. Linh·Le Ngoc Long·Nguyen Chanh Tu
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Abstract

Given a 0-dimensional scheme X in a n-dimensional projective space P^n_K over an arbitrary field K, we use Liaison theory to characterize the Cayley-Bacharach property of X. Our result extends the result for sets of K-rational points given in [7]. In addition, we examine and bound the Hilbert function and regularity index of the Dedekind different of X when X has the Cayley-Bacharach property.

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Martin Kreuzer, Tran N. K. Linh, Le Ngoc Long, Nguyen Chanh Tu. 2019-04-01. An application of Liaison theory to zero-dimensional schemes. https://arxiv.org/abs/1904.00703

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