F^e-modules with applications to D-modules

2022/12/30 by Wenliang Zhang, Zhang, Wenliang
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2212.14799

openalex publication_date 2022/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a theory of F^e-modules (a natural extension of Lyubeznik's F-module theory), we extend results on Matlis dual of F-finite F-modules to D-submodules of F^e-finite F^e-modules and apply these results to address the Lyubeznik-Yildirim conjecture in mixed characteristic.

Related

• Some properties and applications of F-finite F-modules
• Survey on the D-module f^s
• Dual F-signature
• The category of F-modules has finite global dimension
• A classification of injective FI^m-modules