Linkage Extensions
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2005
- DOI:
- 10.48550/arXiv.math/0501036
- arXiv:
- arXiv:math/0501036
- Bibcode:
- 2005math......1036M
- Keywords:
-
- Algebraic Geometry;
- Commutative Algebra;
- 14M06;
- 13C40