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Intersection pairing for arithmetic cycles with degenerate Green currents

Atsushi Moriwaki
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Abstract

In this note, we would like to propose a suitable extension of the arithmetic Chow group of codimension one, in which the Hodge index theorem holds. We also prove an arithmetic analogue of Bogomolov's instability theorem for rank 2 vector bundles on arbitrary regular projective arithmetic varieties.

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Atsushi Moriwaki. 1998-04-10. Intersection pairing for arithmetic cycles with degenerate Green currents. https://arxiv.org/abs/math/9803054

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