TY - JOUR
T1 - On Adjoint Homological Selmer Modules for SL2-Representations of Knot Groups
AU - Kitayama, Takahiro
AU - Morishita, Masanori
AU - Tange, Ryoto
AU - Terashima, Yuji
N1 - Publisher Copyright:
© 2022 The Author(s) 2019. Published by Oxford University Press. All rights reserved.
PY - 2023/12/1
Y1 - 2023/12/1
N2 - We introduce the adjoint homological Selmer module for an-representation of a knot group, which may be seen as a knot theoretic analogue of the dual adjoint Selmer module for a Galois representation. We then show finitely generated torsion-ness of our adjoint Selmer module, which are widely known as conjectures in number theory, and give some concrete examples.
AB - We introduce the adjoint homological Selmer module for an-representation of a knot group, which may be seen as a knot theoretic analogue of the dual adjoint Selmer module for a Galois representation. We then show finitely generated torsion-ness of our adjoint Selmer module, which are widely known as conjectures in number theory, and give some concrete examples.
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U2 - 10.1093/imrn/rnac255
DO - 10.1093/imrn/rnac255
M3 - Article
AN - SCOPUS:85180356838
SN - 1073-7928
VL - 2023
SP - 19801
EP - 19826
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 23
ER -