2009/01/20 by Yuhan Zha, Zha, Yuhan
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #math.AG #math.NT
paper · pdf · doi:10.48550/arxiv.0901.3042
This is a revision of the previous version. A mistake is found in the previous version. Total 29 pages
openalex publication_date 2009/01/20 · arxiv created 2015/08/07 · arxiv updated 2015/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a mathematical structure on an arithmetic surface, that has algebraic meanings over finite places and can estimate the canonical norm for a relative differential form on the arithmetic surface. This will give a lower bound for the canonical norm for a relative differential form on an arithmetic surface, which proves a Height Inequality on the arithmetic surface.