Intersection pairing for arithmetic cycles with degenerate Green currents

Details Intersection pairing for arithmetic cycles with degenerate Green currents Intersection pairing for arithmetic cycles with degenerate Green currents

1998-03-13

arxiv.org/abs/math/9803054v2

Mathematics

Algebraic Geometry

Version 2.0 (30 pages), typeseted by AmSLaTeX, Change the title and extend contents

Scientific paper

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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