Bounding Regularity of VI^m-modules
Analysis
This paper investigates the regularity of VI^m-modules, a concept in algebraic topology and representation theory. The authors prove a bound on the regularity of finitely generated VI^m-modules based on their generation and relation degrees. This result contributes to the understanding of the structure and properties of these modules, potentially impacting related areas like algebraic K-theory and stable homotopy theory. The focus on the non-describing characteristic case suggests a specific technical challenge addressed by the research.
Key Takeaways
- •Proves a bound on the regularity of finitely generated VI^m-modules.
- •The bound depends on the generation and relation degrees.
- •Key ingredient is a shift theorem for VI^m-modules.
- •Focuses on the non-describing characteristic case.
Reference
“If a finitely generated VI^m-module is generated in degree ≤ d and related in degree ≤ r, then its regularity is bounded above by a function of m, d, and r.”