Differentiability of the arithmetic volume function
نویسنده
چکیده
— We introduce the positive intersection product in Arakelov geometry and prove that the arithmetic volume function is continuously differentiable. As applications, we compute the distribution function of the asymptotic measure of a Hermitian line bundle and several other arithmetic invariants. Résumé. — On introduit le produit d’intersection positive en géométrie d’Arakelov et on démontre que la fonction volume arithmétique est continuement dérivable. Comme applications, on calcule la fonction de répartition de la mesure de probabilité asymptotique d’un fibré inversible hermitien ainsi que quelques d’autres invariants arithmétiques.
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عنوان ژورنال:
- J. London Math. Society
دوره 84 شماره
صفحات -
تاریخ انتشار 2011