start-ver=1.4
cd-journal=joma
no-vol=40
cd-vols=
no-issue=3
article-no=
start-page=527
end-page=534
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2015
dt-pub=201509
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Classification of the Linearly Reductive Finite Subgroup Schemes of SL2
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=We classify the linearly reductive finite subgroup schemes G of SL2=SL(V) over an algebraically closed field k of positive characteristic, up to conjugation. As a corollary, we prove that such G is in one-to-one correspondence with an isomorphism class of two-dimensional F-rational Gorenstein complete local rings with the coefficient field k by the correspondence G?((SymV)G) ?.
en-copyright=
kn-copyright=

en-aut-name=HashimotoMitsuyasu
en-aut-sei=Hashimoto
en-aut-mei=Mitsuyasu
kn-aut-name=‹´–{Œõ–õ
kn-aut-sei=‹´–{
kn-aut-mei=ΛЛ
aut-affil-num=1
ORCID=

affil-num=1
en-affil=Department of Mathematics, Okayama University
kn-affil=‰ªŽR‘åŠw‘åŠw‰@Ž©‘R‰ÈŠwŒ¤‹†‰È
en-keyword=Group scheme
kn-keyword=Group scheme
en-keyword=Kleinian singularity
kn-keyword=Kleinian singularity
en-keyword=Invariant theory
kn-keyword=Invariant theory
END