# Heegner points in Coleman families

**Authors:** Dimitar Jetchev, David Loeffler, Sarah Livia Zerbes

arXiv: 1906.09196 · 2021-01-27

## TL;DR

This paper constructs two-parameter p-adic families of Galois cohomology classes that interpolate the etale Abel--Jacobi images of generalized Heegner cycles, varying both modular forms and Grossencharacters.

## Contribution

It introduces a novel construction of p-adic families of Galois cohomology classes linked to Heegner cycles, expanding the understanding of their variation in families.

## Key findings

- Construction of two-parameter p-adic families of Galois cohomology classes
- Interpolation of etale Abel--Jacobi images in p-adic families
- Variation of modular forms and Grossencharacters in the constructed families

## Abstract

We construct two-parameter analytic families of Galois cohomology classes interpolating the etale Abel--Jacobi images of generalised Heegner cycles, with both the modular form and Grossencharacter varying in p-adic families.

## Full text

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## References

39 references — full list in the complete paper: https://tomesphere.com/paper/1906.09196/full.md

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Source: https://tomesphere.com/paper/1906.09196