2007/06/13 by Paul Vojta, Vojta, Paul · 1 citation
Computer Science · Mathematics · #14A15 (Primary) 14E99 #14J60 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14A15 #msc:14E99 #msc:14J60
paper · pdf · doi:10.48550/arxiv.0706.1907
amstex, 19 pages
arxiv created 2007/06/13 · openalex publication_date 2007/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 1962-63, M. Nagata showed that an abstract variety could be embedded into a complete variety. Later, P. Deligne translated Nagata's proof into the language of schemes, but did not publish his notes. This paper, which is to appear as an appendix in a forthcoming book, gives an elaboration of Deligne's notes. It also contains some complementary results on extending divisors and vector sheaves to suitable completions.