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arxiv: math/9901127 · v1 · submitted 1999-01-27 · 🧮 math.AG

Height and Intersection for a family of semi-stable curves

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keywords arithmeticcurvesfamilyhodgeindexsemi-stabletheoremconsider
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In this paper, we consider an arithmetic Hodge index theorem for a family of semi-stable curves f: X \to B with f_{\bf C} being smooth, generalizing Faltings-Hriljac's arithmetic Hodge index theorem for an arithmetic surface.

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