2018/09/27 by Cornelia Rottner, Rottner, Cornelia, Mathias Schulze +1
Computer Science · Mathematics · #13P10 (Primary) 14F10 #16W70 #32S35 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.AG #math.RA #msc:13P10 #msc:14F10 #msc:16W70 #msc:32S35
paper · pdf · doi:10.48550/arxiv.1809.10473
44 pages
arxiv created 2018/09/27 · openalex publication_date 2018/09/27 · arxiv updated 2018/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a Gröbner basis theory for a class of algebras that generalizes both PBW-algebras and rings of differential algebras on smooth varieties. Emphasis lies on methods to compute filtrations and graded structures defined by weight vectors. The approach is tailored for bifiltered D-modules satisfying properties of mixed Hodge modules. As a key ingredient in functors of such modules our theory applies to compute the order filtration on pieces of a V-filtration.