B-splines, polytopes and their characteristic D-modules
(English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125Article in journal (Refereed) Accepted
Given a polytope σ⊂R m , its characteristic distribution δ σ generates a D -module which we call the characteristic D -module of σ and denote by M σ . More generally, the characteristic distributions of a cell complex K with polyhedral cells generate a D -module M K , which we call the characteristic D -module of the cell complex. We prove various basic properties of M K , and show that under certain mild topological conditions on K , the D -module theoretic direct image of M K coincides with the module generated by the B -splines associated to the cells of K (considered as distributions). We also give techniques for computing D -annihilator ideals of polytopes.
Algebra and Logic
Research subject Mathematics
IdentifiersURN: urn:nbn:se:su:diva-116808OAI: oai:DiVA.org:su-116808DiVA: diva2:808333