English

Fractional ideals and integration with respect to the generalised Euler characteristic

Algebraic Geometry 2011-07-01 v1 Commutative Algebra

Abstract

Let bb be a fractional ideal of a one-dimensional Cohen-Macaulay local ring OO containing a perfect field kk. This paper is devoted to the study some OO-modules associated with bb. In addition, different motivic Poincar\'e series are introduced by considering ideal filtrations associated with bb; the corresponding functional equations of these Poincar\'e series are also described.

Keywords

Cite

@article{arxiv.1106.6079,
  title  = {Fractional ideals and integration with respect to the generalised Euler characteristic},
  author = {Julio José Moyano-Fernández},
  journal= {arXiv preprint arXiv:1106.6079},
  year   = {2011}
}
R2 v1 2026-06-21T18:29:29.414Z