Duality on value semigroups
Algebraic Geometry
2020-03-31 v5
Abstract
We establish a combinatorial counterpart of the Cohen-Macaulay duality on a class of curve singularities which includes algebroid curves. For such singularities the value semigroup and the value semigroup ideals of all fractional ideals satisfy axioms that define so-called good semigroups and good semigroup ideals. We prove that each good semigroup admits a canonical good semigroup ideal which gives rise to a duality on good semigroup ideals. We show that the Cohen-Macaulay duality and our good semigroup duality are compatible under taking values.
Cite
@article{arxiv.1510.04072,
title = {Duality on value semigroups},
author = {Philipp Korell and Mathias Schulze and Laura Tozzo},
journal= {arXiv preprint arXiv:1510.04072},
year = {2020}
}
Comments
30 pages, 3 figures