Anticyclotomic Euler Systems for CM fields
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911097887391744 |
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| author | Lee, Yu-Sheng |
| author_facet | Lee, Yu-Sheng |
| contents | Let $K/F$ be a CM extension satisfying the ordinary assumption for an odd prime $p$
and let $ψ$ be a finite order anticyclotomic Hecke character
of $K$.
When $K$ has a place above $p$ of degree one,
we apply Urban's method
and the results from our previous work to construct
an anticyclotomic Euler system for $ψ$
under minor assumptions
and prove one side o the divisibility of
the anticyclotomic Iwasawa main conjecture for $ψ$
when $p$ is inverted. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05861 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anticyclotomic Euler Systems for CM fields Lee, Yu-Sheng Number Theory Let $K/F$ be a CM extension satisfying the ordinary assumption for an odd prime $p$ and let $ψ$ be a finite order anticyclotomic Hecke character of $K$. When $K$ has a place above $p$ of degree one, we apply Urban's method and the results from our previous work to construct an anticyclotomic Euler system for $ψ$ under minor assumptions and prove one side o the divisibility of the anticyclotomic Iwasawa main conjecture for $ψ$ when $p$ is inverted. |
| title | Anticyclotomic Euler Systems for CM fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.05861 |