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Currently displaying 1 – 5 of 5

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Torsion Freeness of Higher Direct Images of Canonical Bundles.

Atsushi Moriwaki — 1986

Mathematische Annalen

Faltings modular height and self-intersection of dualizing sheaf.

Atsushi Moriwaki — 1995

Mathematische Zeitschrift

A sharp slope inequality for general stable fibrations of curves.

Atsushi Moriwaki — 1996

Journal für die reine und angewandte Mathematik

Lower bound of self-intersection of dualizing sheaves on arithmetic surfaces with reducible fibres.

Atsushi Moriwaki — 1996

Mathematische Annalen

Numerical characterization of nef arithmetic divisors on arithmetic surfaces

Atsushi Moriwaki — 2014

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper, we give a numerical characterization of nef arithmetic $ℝ$ -Cartier divisors of $C^{0}$ -type on an arithmetic surface. Namely an arithmetic $ℝ$ -Cartier divisor $\bar{D}$ of $C^{0}$ -type is nef if and only if $\bar{D}$ is pseudo-effective and $\hat{\deg} ({\bar{D}}^{2}) = \hat{vol} (\bar{D})$ .

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