Explicit reciprocity laws for diagonal classes: higher level cases

Luca Marannino

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arXiv · 2402.13648

Explicit reciprocity laws for diagonal classes: higher level cases

Luca Marannino

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Abstract

We generalize the $p$-adic explicit reciprocity laws for balanced diagonal classes by Darmon--Rotger and Bertolini--Seveso--Venerucci to the case of geometric balanced triples $(f,g,h)$ of modular eigenforms where $f$ is a $p$-ordinary newform, while $g$ and $h$ are allowed to be (both) supercuspidal at $p$ or (both) ramified principal series at $p$.

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Luca Marannino. 2026-05-04. Explicit reciprocity laws for diagonal classes: higher level cases. https://arxiv.org/abs/2402.13648

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