Intersection pairing for arithmetic cycles with degenerate Green currents
Algebraic Geometry
2007-05-23 v2
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.
Cite
@article{arxiv.math/9803054,
title = {Intersection pairing for arithmetic cycles with degenerate Green currents},
author = {Atsushi Moriwaki},
journal= {arXiv preprint arXiv:math/9803054},
year = {2007}
}
Comments
Version 2.0 (30 pages), typeseted by AmSLaTeX, Change the title and extend contents