Standard pairs of monomial ideals over non-normal affine semigroups in SageMath
arXiv:2010.08903 · doi:10.2140/jsag.2021.11.129
Abstract
We present stdPairs.spyx, a SageMath library to compute standard pairs of a monomial ideal over a pointed (non-normal) affine semigroup ring. Moreover, stdPairs.spyx provides the associated prime ideals, the corresponding multiplicities, and an irredundant irreducible primary decomposition of a monomial ideal. The library expands on the standardPairs function on Macaulay2 over polynomial rings, and is based on algorithms from arXiv:2005.10968v2 [math.AC]. We also provide methods that allow the outputs from this library to be compatible with the Normaliz package of Macaulay2 and SageMath.
arXiv comment12 pages, no figures. This library can be obtained via https://github.com/byeongsuyu/StdPairs