Torsion Freeness of Higher Direct Images of Canonical Bundles.
Faltings modular height and self-intersection of dualizing sheaf.
A sharp slope inequality for general stable fibrations of curves.
Lower bound of self-intersection of dualizing sheaves on arithmetic surfaces with reducible fibres.
Numerical characterization of nef arithmetic divisors on arithmetic surfaces
In this paper, we give a numerical characterization of nef arithmetic -Cartier divisors of -type on an arithmetic surface. Namely an arithmetic -Cartier divisor of -type is nef if and only if is pseudo-effective and .
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