Cohomology over complete intersections via exterior algebras
Luchezar L. Avramov, Srikanth B. Iyengar
TL;DR
This paper introduces a method using differential graded modules over exterior algebras to analyze cohomology over complete intersection local rings, providing a unified approach to resolution growth.
Contribution
It develops a general technique linking cohomology over complete intersections to exterior algebra modules, enabling uniform results on resolution growth.
Findings
Unified framework for cohomology analysis
Results on resolution growth over complete intersections
Method applicable to various complexes
Abstract
A general method for establishing results over a commutative complete intersection local ring by passing to differential graded modules over a graded exterior algebra is described. It is used to deduce, in a uniform way, results on the growth of resolutions of complexes over such local rings.
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.
Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Rings, Modules, and Algebras