A generalized logarithmic module and duality of Coxeter multiarrangements
Commutative Algebra
2008-07-17 v1 Algebraic Geometry
Abstract
We introduce a new definition of a generalized logarithmic module of multiarrangements by uniting those of the logarithmic derivation and the differential modules. This module is realized as a logarithmic derivation module of an arrangement of hyperplanes with a multiplicity consisting of both positive and negative integers. We consider several properties of this module including Saito's criterion and reflexivity. As applications, we prove a shift isomorphism and duality of some Coxeter multiarrangements by using the primitive derivation.
Cite
@article{arxiv.0807.2552,
title = {A generalized logarithmic module and duality of Coxeter multiarrangements},
author = {Takuro Abe},
journal= {arXiv preprint arXiv:0807.2552},
year = {2008}
}
Comments
17 pages