English

Seed Relations for Eichler--Shimura congruences and Euler systems

Number Theory 2021-06-24 v1

Abstract

This paper proves that the U\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.

Cite

@article{arxiv.2106.12527,
  title  = {Seed Relations for Eichler--Shimura congruences and Euler systems},
  author = {Reda Boumasmoud},
  journal= {arXiv preprint arXiv:2106.12527},
  year   = {2021}
}

Comments

15 pages

R2 v1 2026-06-24T03:31:21.978Z