Interpolation of generalized Heegner classes along quaternionic Coleman
 families

Q: What type of study is this?

This is a Quantitative Study study.

Eduardo Rocha Walchek

doi:10.48550/arxiv.2503.01749

March 3, 2025Open Access

Interpolation of generalized Heegner classes along quaternionic Coleman families

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Key Points

The study successfully constructs generalized heegner classes through interpolation along coleman families, enhancing the understanding of modular forms.
Key evidence indicates that this approach builds on methods by Jetchev, Loeffler, and Zerbes, providing a fresh perspective on generalized heegner classes.
Utilizing an interpolation technique, the analysis focuses on quaternionic modular forms and their connections to coleman families, breaking new ground in the field.
This research highlights the potential for new insights into generalized heegner classes, encouraging further exploration of quaternionic modular forms.

Implication

This research constructs generalized heegner classes using interpolation along coleman families, suggesting new pathways for studying modular forms.

Abstract

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

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Cite This Study

Eduardo Rocha Walchek (2025) studied this question.

synapsesocial.com/papers/68ece2abd1bb2827d1297383 https://doi.org/10.48550/arxiv.2503.01749

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Interpolation of generalized Heegner classes along quaternionic Coleman families

Key Points

Implication

Abstract

Discussion

Cite This Study

Interpolation of generalized Heegner classes along quaternionic Coleman families

Key Points

Implication

Abstract

Discussion

Cite This Study

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