EXCELLENT RINGS IN TRANSCHROMATIC HOMOTOPY THEORY

Barthel, Tobias and Stapleton, Nathaniel (2018) EXCELLENT RINGS IN TRANSCHROMATIC HOMOTOPY THEORY. HOMOLOGY HOMOTOPY AND APPLICATIONS, 20 (1). pp. 209-218. ISSN 1532-0073, 1532-0081

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Abstract

The purpose of this note is to verify that several basic rings appearing in transchromatic homotopy theory are Noetherian excellent normal domains and thus amenable to standard techniques from commutative algebra. In particular, we show that the coefficients of iterated localizations of Morava E-theory at the Morava K-theories are normal domains and also that the coefficients in the transchromatic character map for a fixed group form a normal domain.

Item Type: Article
Uncontrolled Keywords: MORAVA E-THEORY; COHOMOLOGY THEORIES; POWER OPERATIONS; Morava E-theory; Lubin-Tate theory; chromatic homotopy theory; excellent ring
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Mar 2020 12:49
Last Modified: 23 Mar 2020 12:49
URI: https://pred.uni-regensburg.de/id/eprint/15353

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