Anti-cyclotomic Euler system of diagonal cycles
We construct split anti-cyclotomic Euler systems for Galois representations attached to certain RACSDC automorphic representations on the group $\mathrm{GL}_n\times\mathrm{GL}_{n+1}$. As a result, we make progress towards certain rank 1 cases of the Beilinson--Bloch--Kato conjecture for those repres...
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| creator | Lai, Shilin Skinner, Christopher |
| description | We construct split anti-cyclotomic Euler systems for Galois representations
attached to certain RACSDC automorphic representations on the group
$\mathrm{GL}_n\times\mathrm{GL}_{n+1}$. As a result, we make progress towards
certain rank 1 cases of the Beilinson--Bloch--Kato conjecture for those
representations. |
| doi_str_mv | 10.48550/arxiv.2408.01219 |
| format | Article |
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attached to certain RACSDC automorphic representations on the group
$\mathrm{GL}_n\times\mathrm{GL}_{n+1}$. As a result, we make progress towards
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attached to certain RACSDC automorphic representations on the group
$\mathrm{GL}_n\times\mathrm{GL}_{n+1}$. As a result, we make progress towards
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attached to certain RACSDC automorphic representations on the group
$\mathrm{GL}_n\times\mathrm{GL}_{n+1}$. As a result, we make progress towards
certain rank 1 cases of the Beilinson--Bloch--Kato conjecture for those
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| identifier | DOI: 10.48550/arxiv.2408.01219 |
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| subjects | Mathematics - Number Theory |
| title | Anti-cyclotomic Euler system of diagonal cycles |
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