Excellent rings in transchromatic homotopy theory

Research output: Contribution to journalJournal articleResearchpeer-review

  • Tobias Barthel
  • Nathaniel Stapleton

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.

Original languageEnglish
JournalHomology, Homotopy and Applications
Volume20
Issue number1
Pages (from-to)209-218
Number of pages10
ISSN1532-0073
DOIs
Publication statusPublished - 1 Jan 2018

    Research areas

  • Chromatic homotopy theory, Excellent ring, Lubin-Tate theory, Morava E-theory

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