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math.AG2026
Modularity of special cycles on Shimura varieties: a survey
François Greer, Salim Tayou
We survey recent results on a conjecture of Kudla regarding the modularity of generating series of special cycle classes in toroidal compactifications of orthogonal and unitary Shi…
math.AG2026
Failure of the invariant cycle theorem over
Donu Arapura, François Greer, Yilong Zhang
We initiate a study of the local invariant cycle theorem with integral coefficients for 1-parameter semistable families of varieties. We show that it always holds for , and it…