Excellent rings in transchromatic homotopy theory

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

SN - 1532-0073

VL - 20

SP - 209

EP - 218

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

IS - 1

ER -