Intersection of Acm-curves in P
نویسنده
چکیده
In this note we address the problem of determining the maximum number of points of intersection of two arithmetically Cohen-Macaulay curves in P. 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 P 3 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 d ≤ ( t−r+1 3 ) and dimension n ≥ t − r.
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