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In this article, we prove a strong version of local Bertini theorem fornormality on local rings in mixed characteristic. The main result asserts thata generic hyperplane section of a normal, Cohen-Macaulay, and complete localdomain of dimension at least 3 is normal. Applications include the study ofcharacteristic ideals attached to torsion modules over Noetherian normaldomains, which is fundamental in the study of Euler system theory over normaldomains and Iwasawa main conjectures.

Bertini theorem for normality on local rings in mixed characteristic (applications to characteristic ideals)