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Big Cohen-Macaulay Test Ideals on Mixed Characteristic Toric Schemes

Commutative Algebra 2019-10-24 v1 Algebraic Geometry

Abstract

We provide a formula to compute the big Cohen-Macaulay test ideal for triples ((R,Δ),at)((R,\Delta),\mathfrak{a}^{t}) where RR is a mixed characteristic toric ring and a\mathfrak{a} is a monomial ideal. Of particular interest is that this result is consistent with the formulas for test ideals in positive characteristic and multiplier ideals in characteristic zero.

Keywords

Cite

@article{arxiv.1910.10297,
  title  = {Big Cohen-Macaulay Test Ideals on Mixed Characteristic Toric Schemes},
  author = {Marcus Robinson},
  journal= {arXiv preprint arXiv:1910.10297},
  year   = {2019}
}

Comments

13 pages, 1 figure