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arXiv · 2507.07423

Higher Hida theory for Drinfeld modular curves

Daniel Barrera Salazar·Héctor del Castillo·Giovanni Rosso
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Abstract

Inspired by the construction of Higher Hida theory of Boxer and Pilloni, we develop Higher Hida theory for the cohomology of the line bundles of Drinfeld modular forms on the Drinfeld modular curve. We also interpolate Serre duality.

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Daniel Barrera Salazar, Héctor del Castillo, Giovanni Rosso. 2025-07-10. Higher Hida theory for Drinfeld modular curves. https://arxiv.org/abs/2507.07423

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