A theta operator on Picard modular forms modulo an inert prime

DOI10.1186/s40687-016-0075-8zbMath1417.11043arXiv1412.5494OpenAlexW2963221307WikidataQ59465806 ScholiaQ59465806MaRDI QIDQ313402

Ehud de Shalit, Eyal Z. Goren

Publication date: 9 September 2016

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5494

zbMATH Keywords

unitary group\(p\)-adic modular formsPicard modular surfacestheta operator

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Arithmetic aspects of modular and Shimura varieties (11G18) Surfaces of general type (14J29) Modular and Shimura varieties (14G35)

Related Items (9)

Differential operators and families of automorphic forms on unitary groups of arbitrary signature ⋮ GEOMETRIC WEIGHT-SHIFTING OPERATORS ON HILBERT MODULAR FORMS IN CHARACTERISTIC p ⋮ Differential operators mod \(p\): analytic continuation and consequences ⋮ Foliations on unitary Shimura varieties in positive characteristic ⋮ Families of Picard modular forms and an application to the Bloch–Kato conjecture ⋮ An introduction to Eisenstein measures ⋮ Theta operators on unitary Shimura varieties ⋮ On the Bad Reduction of Certain U(2, 1) Shimura Varieties ⋮ The weight reduction of mod \(p\) Siegel modular forms for \(GSp_4\) and theta operators

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