Year: 2025
Type: article
Abstract: We prove a stronger version of the keystone result of Dasgupta and Kakde (Ann Math 197:289–388, 2023) on the $$\mathbb Z[G(H/F)]^-$$ Z [ G ( H / F ) ] - -Fitting ideals of certain Selmer modules $$Sel_S^T(H)^-$$ S e l S T ( H ) - associated with an abelian, CM extension H / F of a totally real number field F , and use this to compute the $$\mathbb Z_p[[G(H_\infty /F)]]^-$$ Z p [ [ G ( H ∞ / F ) ] ] - -Fitting ideal of the Iwasawa module analogues $$Sel_S^T(H_\infty )_p^-$$ S e l S T ( H ∞ ) p - of these Selmer modules, where $$H_\infty $$ H ∞ is the cyclotomic $${\mathbb {Z}}_p$$ Z p -extension of H , for an odd prime p . Our main Iwasawa theoretic result states that the $$\mathbb Z_p[[G(H_\infty /F)]]^-$$ Z p [ [ G ( H ∞ / F ) ] ] - -module $$Sel_S^T(H_\infty )_p^-$$ S e l S T ( H
Authors: Rusiru Gambheera, Cristian D. Popescu
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,090
Funder: Simons Foundation
OpenAlex ID: W4416633604