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, A, & AKÇİN, H. M (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 38 (1): 25-28. https://doi.org/10.3906/mat-1203-22