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1 CMLS - Centre de Mathématiques Laurent Schwartz 2 IHES - Institut des Hautes Etudes Scientifiques

Abstract : We establish, for a generically big Hermitian line bundle, the convergence of truncated Harder-Narasimhan polygons and the uniform continuity of the limit. As applications, we prove a conjecture of Moriwaki asserting that the arithmetic volume function is actually a limit instead of a sup-limit, and we show how to compute the asymptotic polygon of a Hermitian line bundle, by using the arithmetic volume function.

Author: Huayi Chen -

Source: https://hal.archives-ouvertes.fr/


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