Some Results on Betti Series of Universal Modules of Differential Operators
Commutative Algebra
2017-05-18 v1
Abstract
In this article, we discuss the rationality of the Betti Series of the universal module of nth order derivations of R_{m} where m is a maximal ideal of R. We proved that if R is a coordinate ring of an affine irreducible curve and if it has at most one singularity point, then the Betti series is rational.
Cite
@article{arxiv.1705.06129,
title = {Some Results on Betti Series of Universal Modules of Differential Operators},
author = {Halise Melis Teki Akçin and Ali Erdoğan},
journal= {arXiv preprint arXiv:1705.06129},
year = {2017}
}