Relèvement de formes modulaires de Siegel

DOI10.1090/S0002-9939-10-10378-5zbMath1257.11046arXiv0812.3231MaRDI QIDQ4929977

Benoît Stroh

Publication date: 27 September 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3231

zbMATH Keywords

Kodaira vanishing theoremSiegel modular formstoroïdal compactifications

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (3)

Vanishing theorems for coherent automorphic cohomology ⋮ Differential operators mod \(p\): analytic continuation and consequences ⋮ Companion forms and the dual BGG complex for \(\mathrm{GSp}_4\)

Cites Work

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• Perfect forms and the moduli space of abelian varieties
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Formes modulaires de poids $1$
• CONTROL THEOREMS OF COHERENT SHEAVES ON SHIMURA VARIETIES OF PEL TYPE
• The nef cone of toroidal compactifications of ${\cal A}_4$
• Nef Divisors on Moduli Spaces of Abelian Varieties

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