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math.NT2022
Derived special cycles on Shimura varieties
Keerthi Madapusi
I employ methods from derived algebraic geometry to give a uniform moduli-theoretic construction of special cycle classes on integral models many Shimura varieties of Hodge type, i…
math.NT2022
Kudla's modularity conjecture on integral models of orthogonal Shimura varieties
Benjamin Howard, Keerthi Madapusi
We construct a family of special cycle classes on the regular integral model of an orthogonal Shimura variety, and show that these cycle classes appear as Fourier coefficients of a…