Hermitian metrics of semi-negative curvature on quotients of bounded symmetric domains.
Total geodesy of proper holomorphic immersions between complex hyperbolic space forms of finite volume.
Eigensections on Kuga families of abelian varieties and finiteness of their Mordell-Weil groups.
The asymptotic behavior of Green's functions for quasi-hyperbolic metrics on degenerating Riemann surfaces.
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