On Betti series of the universal modules of second order derivations of \frac{k[x_1,x_2,...,x_s]}{(f)}

Authors

ALİ ERDOĞAN
HALİSE MELİS TEKİN AKÇİN

Abstract

Let R be a coordinate ring of an affine irreducible curve represented by \frac{k[x_1,x_2,...,x_s]}{(f)} and m be a maximal ideal of R. In this article, the Betti series of \Omega_2(R_m) is studied. We proved that the Betti series of \Omega_2(R_m), where \Omega_2(R_m) denotes the universal module of second order derivations of R_m, is a rational function under some conditions.

DOI

10.3906/mat-1203-22

Keywords

Universal module, universal differential operators, Betti series, minimal resolution

First Page

25

Last Page

28

Recommended Citation

ERDOĞAN, ALİ and AKÇİN, HALİSE MELİS TEKİN (2014) "On Betti series of the universal modules of second order derivations of \frac{k[x_1,x_2,...,x_s]}{(f)}," Turkish Journal of Mathematics: Vol. 38: No. 1, Article 3. https://doi.org/10.3906/mat-1203-22
Available at: https://journals.tubitak.gov.tr/math/vol38/iss1/3