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Interpolation of generalized Heegner classes along quaternionic Coleman families

Number Theory 2026-05-01 v2

Abstract

We construct big generalized Heegner classes by interpolating pp-adically the generalized Heegner classes associated to quaternionic modular forms along a Coleman (finite slope) family, following the approach introduced by Jetchev--Loeffler--Zerbes.

Keywords

Cite

@article{arxiv.2503.01749,
  title  = {Interpolation of generalized Heegner classes along quaternionic Coleman families},
  author = {Eris Rocha Walchek},
  journal= {arXiv preprint arXiv:2503.01749},
  year   = {2026}
}

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32 pages