In this paper, we study the module structure of the homology of Artin
kernels, i.e., kernels of non-resonant characters from right-angled Artin
groups onto the integer numbers, the module structure being with respect to the
ring K[t±1], where K is a field of characteristic
zero. Papadima and Suciu determined some part of this structure by means of the
flag complex of the graph of the Artin group. In this work, we provide more
properties of the torsion part of this module, e.g., the dimension of each
primary part and the maximal size of Jordan forms (if we interpret the torsion
structure in terms of a linear map). These properties are stated in terms of
homology properties of suitable filtrations of the flag complex and suitable
double covers of an associated toric complex.Comment: 24 pages, 6 figure