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.
| Original language | English |
|---|---|
| Pages (from-to) | 209-218 |
| Number of pages | 10 |
| Journal | Homology, Homotopy and Applications |
| Volume | 20 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2018 |
Bibliographical note
Funding Information:We would like to thank Frank Gounelas for providing helpful geometric intuition, Niko Naumann and Paul VanKoughnett for useful discussions, as well as the anonymous referee for valuable comments. The second author is supported by SFB 1085 Higher Invariants funded by the DFG.
Publisher Copyright:
© 2018, International Press.
Keywords
- Chromatic homotopy theory
- Excellent ring
- Lubin-Tate theory
- Morava E-theory
ASJC Scopus subject areas
- Mathematics (miscellaneous)