2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59614In this paper, we introduce a geometrically stylized arithmetic cohomology for number fields. Based on such a cohomology, we define and study new yet genuine non-abelian zeta functions for number fields, using an intersection stability.Version 2Algebraic GeometryRiemann-Roch, Stability and New Non-Abelian Zeta Functions for Number Fieldstext