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• W3135323668 abstract "We continue the study of Selmer groups associated with an Artin representation endowed with a $p$-stabilization which was initiated in arXiv:1811.05368. We formulate a main conjecture and an extra zeros conjecture at all unramified odd primes $p$, which are shown to imply the $p$-part of the Tamagawa number conjecture for Artin motives at $s=0$. We also relate our new conjectures with various cyclotomic Iwasawa main conjectures and $p$-adic Stark conjectures that appear in the literature. In particular, they provide a natural interpretation for recent conjectures on $p$-adic $L$-functions attached to (the adjoint of a) weight one modular form. In the case of monomial representations, we prove that our conjectures are essentially equivalent to some newly introduced Iwasawa-theoretic conjectures for Rubin-Stark elements." @default.
• W3135323668 created "2021-03-15" @default.
• W3135323668 creator A5043743118 @default.
• W3135323668 date "2021-03-11" @default.
• W3135323668 modified "2023-09-27" @default.
• W3135323668 title "On generalized Iwasawa main conjectures and $p$-adic Stark conjectures for Artin motives" @default.
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