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

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1139-1159
Number of pages	21
Journal	Mathematische Zeitschrift
Volume	273
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-012-1047-3
Publication status	Published - 2013 Apr
Externally published	Yes

Keywords

Primary 11G18
Secondary 14G35

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-012-1047-3

Cite this

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abstract = "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 Qp.",

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author = "Naoki Imai and Takahiro Tsushima",

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AU - Tsushima, Takahiro

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AB - 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 Qp.

KW - Primary 11G18

KW - Secondary 14G35

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UR - https://www.scopus.com/pages/publications/84874946694#tab=citedBy

U2 - 10.1007/s00209-012-1047-3

DO - 10.1007/s00209-012-1047-3

M3 - Article

AN - SCOPUS:84874946694

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JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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