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Intersection of ACM-curves in ℙ3

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Published/Copyright: September 30, 2005
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Advances in Geometry
From the journal Volume 5 Issue 4

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 and dimension n ≥ t – r.

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Published Online: 2005-09-30
Published in Print: 2005-10-18

Walter de Gruyter GmbH & Co. KG

Articles in the same Issue

  1. On antipodes on a convex polyhedron
  2. Extensions of isomorphisms for affine dual polar spaces and strong parapolar spaces
  3. Affine parts of topological unitals
  4. Flocks of topological circle planes
  5. Positivity, sums of squares and the multi-dimensional moment problem II
  6. Artin groups of type B and D
  7. Intersection of ACM-curves in ℙ3
  8. Die harmonischen Involutionen einer Möbiusebene
https://doi.org/10.1515/advg.2005.5.4.637

Articles in the same Issue

  1. On antipodes on a convex polyhedron
  2. Extensions of isomorphisms for affine dual polar spaces and strong parapolar spaces
  3. Affine parts of topological unitals
  4. Flocks of topological circle planes
  5. Positivity, sums of squares and the multi-dimensional moment problem II
  6. Artin groups of type B and D
  7. Intersection of ACM-curves in ℙ3
  8. Die harmonischen Involutionen einer Möbiusebene
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