Let f ∈ C[X1,...,Xn] be a homogeneous polynomial and B(f) be the corresponding Brieskorn module. We describe the torsion of the Brieskorn module B(f) for n = 2 and show that any torsion element has order 1. For n > 2, we find some examples in which the torsion order is strictly greater than 1.
Cite this article
Khurram Shabbir, On the Torsion of Brieskorn Modules of Homogeneous Polynomials. Rend. Sem. Mat. Univ. Padova 120 (2008), pp. 147–156DOI 10.4171/RSMUP/120-9