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Abstract
In this note we address the problem of determining the maximum number of points of intersection of two arithmetically Cohen–Macaulay curves in ℙ3. We give a sharp upper bound for the maximum number of points of intersection of two irreducible arithmetically Cohen–Macaulay curves Ct and Ct–r in ℙ3 defined by the maximal minors of a t × (t + 1), resp. (t – r ) × (t – r + 1), matrix with linear entries, provided Ct–r has no linear series of degree
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Published Online: 2005-09-30
Published in Print: 2005-10-18
Walter de Gruyter GmbH & Co. KG
