Abstract
It is shown that the notion of linkage of algebraic varieties, introduced by Peskine and Szpiro, can be generalized to finitely generated modules over non-commutative noetherian semiperfect rings. Besides greater generality, the module-theoretic approach brings about new invariants of linkage and yields improved results and simpler proofs even in the traditional settings of commutative algebraic geometry and local algebra. Connections with Auslander–Reiten sequences, singularity theory, derived categories, local cohomology, Buchsbaum modules, and maximal Cohen–Macaulay approximations are discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
