On the regularity of products and intersections of complete intersections

Mathematics – Commutative Algebra

Scientific paper

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10 pages

Scientific paper

This paper proves that the Castelnuovo-Mumford regularities of the product
and sum of two monomial complete intersection ideals are at most the sum of the
regularities of the two ideals, and provides examples showing that these
inequalities do not hold for general complete intersections.

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