2006/12/14 by Matthias Schuett, Schuett, Matthias
Mathematics · #11G15 #11R29 #11R37 #14J28 #14K22 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.math/0612396
openalex publication_date 2006/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper gives upper and lower bounds for the degree of the field of definition of a singular K3 surface, generalising a recent result by Shimada. We use work of Shioda-Mitani and Shioda-Inose and classical theory of complex multiplication.