Wiles defect for modules and criteria for freeness

Autor:	Brochard, Sylvain, Iyengar, Srikanth B., Khare, Chandrashekhar B.
Rok vydání:	2021
Předmět:	Mathematics - Number Theory Mathematics - Commutative Algebra 11F80 (primary) 13C99 13F99 (secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages; minor revision. To appear in the Int. Math. Res. Notices
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.06759 Zobrazit plný text záznamu View this record from Arxiv