Seed Relations for Eichler--Shimura congruences and Euler systems

Reda Boumasmoud

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arXiv · 2106.12527

Seed Relations for Eichler--Shimura congruences and Euler systems

Reda Boumasmoud

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Abstract

This paper proves that the $\mathbb{U}$-operator attached to a cocharacter is a right root of the corresponding Hecke polynomial. This result is an important ingredient in the proof of (i) the horizontal norm relations in the context of Gross--Gan--Prasad cycles and of (ii) the generalization of Eichler--Shimura relations.

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Reda Boumasmoud. 2021-06-23. Seed Relations for Eichler--Shimura congruences and Euler systems. https://arxiv.org/abs/2106.12527

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