Linkage Extensions
classification
🧮 math.AG
math.AC
keywords
algebraicallyanalogueclassifiedcohen-macaulayconsidereddimensiondoubledualizing
read the original abstract
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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