The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings

2025/03/21 by Davis, Caitlin M., Martinova, Boyana · 1 citation
#13A02 #13D02 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/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.

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• Asymptotic Syzygies of Weighted Projective Spaces

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• Linear free resolutions over non-commutative algebras
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