Mathematics – Algebraic Geometry
Scientific paper
2005-01-03
Mathematics
Algebraic Geometry
Scientific paper
Given two equidimensional Cohen-Macaulay local rings of the same dimension,
one shows that a simultaneous extension of each of them by a dualizing module
of the other is Gorenstein. This generalizes a theorem of Fossum. The
geometrical analogue is also considered. The pairs of double lines in the
projective space which are algebraically linked are classified.
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