Action of Hecke operators on cohomology of modular curves of level two

Naoki Imai; Takahiro Tsushima

doi:10.1007/s00209-012-1047-3

Action of Hecke operators on cohomology of modular curves of level two

Naoki Imai
, Takahiro Tsushima

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

We calculate the action of the p-th Hecke operator and the inertia group on the ℓ-adic cohomology of modular curve of level Γ₀(p²) under the assumption p ≥ 13, using only a local geometrical method. We also calculate the action of the p-th Hecke operator and the inertia group on the ℓ-adic cohomology of the Lubin-Tate space of the same level over the maximal unramified extension of Q_p.

本文言語	English
ページ（範囲）	1139-1159
ページ数	21
ジャーナル	Mathematische Zeitschrift
巻	273
号	3-4
DOI	https://doi.org/10.1007/s00209-012-1047-3
出版ステータス	Published - 2013 4月
外部発表	はい

ASJC Scopus subject areas

数学一般

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10.1007/s00209-012-1047-3

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Action of Hecke operators on cohomology of modular curves of level two

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