TL;DR
This paper introduces the concept of the canonical module for complexes, explores Serre's conditions in this context, and investigates their connections to local cohomology and endomorphism rings.
Contribution
It extends the notion of canonical modules from modules to complexes and analyzes their properties and relationships with Serre's conditions.
Findings
Defined the canonical module of a complex.
Established links between Serre's conditions and local cohomology.
Analyzed the endomorphism ring of the canonical module.
Abstract
We define the notion of the canonical module of a complex. We then consider Serre's conditions for a complex and study their relationship to the local cohomology of the canonical module and its ring of endomorphisms.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.