Composition series for GKZ-systems
Jiangxue Fang
TL;DR
This paper investigates the structure of GKZ-systems by establishing a composition series with semisimple quotients and compares these with the associated perverse sheaves via the Riemann-Hilbert correspondence.
Contribution
It introduces a composition series for GKZ-systems with semisimple quotients and relates it to the perverse sheaves through the Riemann-Hilbert correspondence.
Findings
Established a composition series with semisimple quotients for GKZ-systems
Compared the composition series of GKZ-systems and perverse sheaves
Analyzed the relationship via the Riemann-Hilbert correspondence
Abstract
In this paper, we find a composition series of GKZ-systems with semisimple successive quotients. We also study the composition series of the corresponding perverse sheaves and compare these two composition series under the Riemann-Hilbert correspondence.
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
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics