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math.NT2004
Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms
Jens Funke, John Millson
The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. We generalize the Kudla-Millson relation between intersection…
math.NT2001
Cycles in hyperbolic manifolds of non-compact type and Fourier coefficients of Siegel modular forms
Jens Funke, John Millson
Throughout the 1980's, Kudla and the second named author studied integral transforms from rapidly decreasing closed differential forms on arithmetic quotients of the symmetric spac…