Relèvement de formes modulaires de siegel

Benoît Stroh

doi:10.1090/s0002-9939-10-10378-5

Relèvement de formes modulaires de siegel

Translated title of the contribution: Lifting Siegel modular forms

Benoît Stroh

Institut Galilée

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

Abstract

In this paper, we give explicit conditions under which cuspidal Siegel modular forms of genus 2 or 3 with coefficients in a finite field lift to cuspidal modular forms with coefficients in a ring of characteristic 0. This result extends a classical theorem proved by Katz for genus 1 modular forms. We use ampleness results due to Shepherd-Barron, Hulek and Sankaran, and vanishing theorems due to Deligne, Illusie, Raynaud, Esnault and Viehweg.

Translated title of the contribution	Lifting Siegel modular forms
Original language	French
Pages (from-to)	3089-3094
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	138
Issue number	9
DOIs	https://doi.org/10.1090/s0002-9939-10-10378-5
Publication status	Published - 1 Jan 2010
Externally published	Yes

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Cite this

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AB - In this paper, we give explicit conditions under which cuspidal Siegel modular forms of genus 2 or 3 with coefficients in a finite field lift to cuspidal modular forms with coefficients in a ring of characteristic 0. This result extends a classical theorem proved by Katz for genus 1 modular forms. We use ampleness results due to Shepherd-Barron, Hulek and Sankaran, and vanishing theorems due to Deligne, Illusie, Raynaud, Esnault and Viehweg.

KW - Kodaira vanishing theorem

KW - Siegel modular forms

KW - Toroïdal compactifications

UR - https://www.scopus.com/pages/publications/77953348416

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DO - 10.1090/s0002-9939-10-10378-5

M3 - Article

AN - SCOPUS:77953348416

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VL - 138

SP - 3089

EP - 3094

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 9

ER -

Relèvement de formes modulaires de siegel

Abstract

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