Linkage Extensions
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
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.
Cite
@article{arxiv.math/0501036,
title = {Linkage Extensions},
author = {Nicolae Manolache},
journal= {arXiv preprint arXiv:math/0501036},
year = {2007}
}