English

Higher Hida theory for Drinfeld modular curves

Number Theory 2025-07-11 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.2507.07423,
  title  = {Higher Hida theory for Drinfeld modular curves},
  author = {Daniel Barrera Salazar and Héctor del Castillo and Giovanni Rosso},
  journal= {arXiv preprint arXiv:2507.07423},
  year   = {2025}
}
R2 v1 2026-07-01T03:54:12.932Z