On the colength of fractional ideals
Algebraic Geometry
2019-07-26 v1 Commutative Algebra
Abstract
The main result in this paper is to supply a recursive formula, on the number of minimal primes, for the colength of a fractional ideal in terms of the maximal points of the value set of the ideal itself. The fractional ideals are taken in the class of complete admissible rings, a more general class of rings than those of algebroid curves. For such rings with two or three minimal primes, a closed formula for that colength is provided, so improving results by Barucci, D'Anna and Fr\"oberg.
Keywords
Cite
@article{arxiv.1907.10666,
title = {On the colength of fractional ideals},
author = {Edison Marcavillaca Niño de Guzmán and Abramo Hefez},
journal= {arXiv preprint arXiv:1907.10666},
year = {2019}
}
Comments
17 pages, 2 figures. arXiv admin note: text overlap with arXiv:1804.10164