A structure theorem for unions of complete intersections
classification
🧮 math.AG
math.AC
keywords
completeschemesintersectionsarithmeticallystructuretheoremunionalmost
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Using the connections among almost complete intersection schemes, arithmetically Gorenstein schemes and schemes that are union of complete intersections we give a structure theorem for arithmetically Cohen-Macaulay union of two complete intersections of codimension $2.$ We apply the results for computing Hilbert functions and graded Betti numbers for such schemes.
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