Evolutions and valuations associated to an ideal - Dedicated to the memory of J. Neukirch

Huebl, Reinhold (1999) Evolutions and valuations associated to an ideal - Dedicated to the memory of J. Neukirch. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 517. pp. 81-101. ISSN 0075-4102,

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Abstract

Given a reduced flat local algebra T/k we study the question whether T/k is evolutionarily stable. This question was raised by B. Mazur and studied by Eisenbud and Mazur in connection with the work of Wiles on Galois deformations. It is still open whether in case k is a discrete valuation ring of mixed characteristics or a field of characteristic 0 every such algebra is evolutionarily stable. We reduce this problem to a question on nilpotent elements in a graded ring which we can answer in a number of cases.

Item Type: Article
Uncontrolled Keywords: ALGEBRAS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Dec 2022 09:16
Last Modified: 06 Dec 2022 09:16
URI: https://pred.uni-regensburg.de/id/eprint/48758

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