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arXiv · 1511.06567

Faltings delta-invariant and semistable degeneration

Robin de Jong
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Abstract

We determine the asymptotic behavior of the Arakelov metric, the Arakelov-Green's function, and the Faltings delta-invariant for arbitrary one-parameter families of complex curves with semistable degeneration. The leading terms in the asymptotics are given a combinatorial interpretation in terms of S. Zhang's theory of admissible Green's functions on polarized metrized graphs.

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Robin de Jong. 2015-11-20. Faltings delta-invariant and semistable degeneration. https://doi.org/10.4310/jdg%2F1549422102

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