Differentiability of the $\chi$-volume function over an adelic curve

Autor:	Sédillot, Antoine
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	In this article, we show a differentiability property for the $\chi$-volume function on the ample cone of adelic line bundles over an adelic curve. This result is deduced from a non-Archimedean counterpart of a diffrentiability result of Witt Nystr\"om. As an application, we give a logarithmic equidistribution result over adelic curves. Comment: 43 pages, comments are welcome! Second version, the differentiability property is extended to the non relative case (Theorem 1.2) and allows to give the logarithmic equidistribution result (Theorem 1.3)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.03377 Zobrazit plný text záznamu View this record from Arxiv