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math.AG2026
Perverse Euler Characteristics of Hermitian Locally Symmetric Spaces
Mert Akdenizli, Quoc-Anh Tran
We prove that finite-volume locally Hermitian symmetric spaces of noncompact type have nonnegative perverse Euler characteristics. To show this, we obtain a nefness result for the…
math.AG2026
On the nilpotent residue non-abelian Hodge correspondence for higher-dimensional quasiprojective varieties
Quoc-Anh Tran
In arXiv:2408.16441, the authors proved that on a projective log smooth variety there is a continuous bijection between the moduli space $M^{\mathrm{nilp}}_{\mathrm{…