On anticyclotomic Euler and Kolyvagin systems
- Mastella, Luca ORCID UniDistance Suisse
- Zerman, Francesco
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2025
English
We introduce an axiomatization of the notion of ( $p$-complete) anticyclotomic Euler system for a wide class of Galois representations, including those attached to a cuspidal eigenform and to a Hida family of modular forms. Under a minimal set of assumptions, we show how to build from these data a universal Kolyvagin system for the representation and for its anticyclotomic twist. Eventually, we recover some applications to the structure of Selmer groups and Iwasawa main conjectures and we review a few concrete examples of these abstract notions that can be found in the literature.
- Identifiers
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- DOI 10.48550/ARXIV.2505.08710
- URI https://pub.orcid.org/v3.0/0009-0005-1328-0317/work/203295123
- ARK ark:/51647/srd1336042
- Persistent URL
- https://n2t.net/ark:/51647/srd1336042
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