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Linkage Extensions

代数几何 2007-05-23 v1 交换代数

摘要

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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引用

@article{arxiv.math/0501036,
  title  = {Linkage Extensions},
  author = {Nicolae Manolache},
  journal= {arXiv preprint arXiv:math/0501036},
  year   = {2007}
}