Excellent rings in transchromatic homotopy theory
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Excellent rings in transchromatic homotopy theory. / Barthel, Tobias; Stapleton, Nathaniel.
I: Homology, Homotopy and Applications, Bind 20, Nr. 1, 01.01.2018, s. 209-218.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Excellent rings in transchromatic homotopy theory
AU - Barthel, Tobias
AU - Stapleton, Nathaniel
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
AB - 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.
KW - Chromatic homotopy theory
KW - Excellent ring
KW - Lubin-Tate theory
KW - Morava E-theory
UR - http://www.scopus.com/inward/record.url?scp=85042561084&partnerID=8YFLogxK
U2 - 10.4310/HHA.2018.v20.n1.a12
DO - 10.4310/HHA.2018.v20.n1.a12
M3 - Journal article
AN - SCOPUS:85042561084
VL - 20
SP - 209
EP - 218
JO - Homology, Homotopy and Applications
JF - Homology, Homotopy and Applications
SN - 1532-0073
IS - 1
ER -
ID: 201866714