Deformation and Linkage of Gorenstein Algebras
- 1 August 1984
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 284 (2) , 501-534
- https://doi.org/10.2307/1999093
Abstract
General double linkage of Gorenstein algebras is defined. Rigidity, genericity, and regularity up to codimension six all pass across general double linkage. Rigid strongly unobstructed codimension four Gorenstein algebras which lie in different Herzog classes are produced.Keywords
This publication has 19 references indexed in Scilit:
- Structure Theory for a Class of Grade Four Gorenstein IdealsTransactions of the American Mathematical Society, 1982
- A general resolution for grade four Gorenstein idealsmanuscripta mathematica, 1981
- Deformation von Cohen-Macaulay Algebren.Journal für die reine und angewandte Mathematik (Crelles Journal), 1980
- Algebra structures on minimal resolutions of Gorenstein rings of embedding codimension fourMathematische Zeitschrift, 1980
- Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3American Journal of Mathematics, 1977
- Certain complexes associated to a sequence and a matrixmanuscripta mathematica, 1974
- Properties of Noetherian rings stable under general grade reductionArchiv der Mathematik, 1973
- Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal LociAmerican Journal of Mathematics, 1971
- Free Derivation Modules on Algebraic VarietiesAmerican Journal of Mathematics, 1965
- On the ubiquity of Gorenstein ringsMathematische Zeitschrift, 1963