2018
DOI: 10.1007/s40316-018-0099-0
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Specialization method in Krull dimension two and Euler system theory over normal deformation rings

Abstract: The aim of this article is to establish the specialization method on characteristic ideals for finitely generated torsion modules over a complete local normal domain R that is module-where O is the ring of integers of a finite extension of the field of p-adic integers Qp. The specialization method is a technique that recovers the information on the characteristic ideal charR(M ) from char R/I (M/IM ), where I varies in a certain family of nonzero principal ideals of R. As applications, we prove Euler system bo… Show more

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Cited by 1 publication
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“…It is also essential in the proof of the Bertini-type theorem for reduced hyperplane quotients of complete local rings of characteristic p > 0. This result is proved in [7]. Finally, we mention that there is a version of Theorem 1.1 for an affine domain over a perfect field (see [8,Theorem 4.2.2]).…”
mentioning
confidence: 91%
“…It is also essential in the proof of the Bertini-type theorem for reduced hyperplane quotients of complete local rings of characteristic p > 0. This result is proved in [7]. Finally, we mention that there is a version of Theorem 1.1 for an affine domain over a perfect field (see [8,Theorem 4.2.2]).…”
mentioning
confidence: 91%