The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings
arXiv:2503.17541
Abstract
We prove that truncations of nonstandard graded polynomial rings are (nonstandard) Koszul modules in the sense of Herzog and Iyengar. This provides an analogue of the fact that such truncations have linear resolutions in the standard graded case.
12 pages. Updated to include an additional hypothesis in Conjecture 1.5. Comments welcome!