Wiles defect for modules and criteria for freeness
Number Theory
2022-02-22 v2 Commutative Algebra
Abstract
F. Diamond proved a numerical criterion for modules over local rings to be free modules over complete intersection rings. We formulate a refinement of these results using the notion of Wiles defect. A key step in the proof is a formula that expresses the Wiles defect of a module in terms of the Wiles defect of the underlying ring.
Cite
@article{arxiv.2107.06759,
title = {Wiles defect for modules and criteria for freeness},
author = {Sylvain Brochard and Srikanth B. Iyengar and Chandrashekhar B. Khare},
journal= {arXiv preprint arXiv:2107.06759},
year = {2022}
}
Comments
15 pages; minor revision. To appear in the Int. Math. Res. Notices