Intersection pairing for arithmetic cycles with degenerate Green currents
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Publication:6500842
arXivmath/9803054MaRDI QIDQ6500842
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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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