A theta operator on Picard modular forms modulo an inert prime

2014/12/17 by de Shalit, Ehud, Goren, Eyal Z. · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1412.5494

Abstract

We study the reduction of Picard modular surfaces modulo an inert prime, mod p and p-adic modular forms. We construct a theta operator on such modular forms and study its poles and its effect on Fourier-Jacobi expansions.

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• Irreducibility of Newton strata in Picard modular surfaces and split local Galois representations

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