Intersection pairing for arithmetic cycles with degenerate Green currents

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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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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/76693

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9803054
 http://arxiv.org/abs/math/9803054

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arXiv