HODGE STRATIFICATION IN LOW RAMIFICATION

Stéphane Bijakowski

doi:10.5802/pmb.59

HODGE STRATIFICATION IN LOW RAMIFICATION

Stéphane Bijakowski

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We define and study the Hodge stratification for the special fiber of Shimura varieties defined with the Pappas–Rapoport condition, in the case of low ramification index (e ≤ 3). For e ≤ 2, the Hodge polygon induces a strong stratification. For e = 3, one needs to introduce several polygons. They describe the isomorphism class of the sheaf of differentials with extra structure, and induce a strong stratification on the variety.

langue originale	Anglais
Pages (de - à)	5-20
Nombre de pages	16
journal	Publications Mathematiques de Besancon - Algebre et Theorie des Nombres
Volume	2025
Les DOIs	https://doi.org/10.5802/pmb.59
état	Publié - 1 janv. 2025

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10.5802/pmb.59

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title = "HODGE STRATIFICATION IN LOW RAMIFICATION",

abstract = "We define and study the Hodge stratification for the special fiber of Shimura varieties defined with the Pappas{\textendash}Rapoport condition, in the case of low ramification index (e ≤ 3). For e ≤ 2, the Hodge polygon induces a strong stratification. For e = 3, one needs to introduce several polygons. They describe the isomorphism class of the sheaf of differentials with extra structure, and induce a strong stratification on the variety.",

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AB - We define and study the Hodge stratification for the special fiber of Shimura varieties defined with the Pappas–Rapoport condition, in the case of low ramification index (e ≤ 3). For e ≤ 2, the Hodge polygon induces a strong stratification. For e = 3, one needs to introduce several polygons. They describe the isomorphism class of the sheaf of differentials with extra structure, and induce a strong stratification on the variety.

UR - https://www.scopus.com/pages/publications/105014990682

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M3 - Article

AN - SCOPUS:105014990682

SN - 2804-8504

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JO - Publications Mathematiques de Besancon - Algebre et Theorie des Nombres

JF - Publications Mathematiques de Besancon - Algebre et Theorie des Nombres

ER -

HODGE STRATIFICATION IN LOW RAMIFICATION

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