1994/10/05 by David Reed, David S. Reed, Reed, David
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9410002
LATEX, 27 pages
arxiv created 1994/10/05 · openalex publication_date 1994/10/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Serre and Abelson have produced examples of non-homeomorphic conjugate varieties. We show that if the field of definition of a polarized projective variety coincides with its field of moduli then all of its conjugates have the same topological type. This extends the class of varieties known to posses conjugacy invariant to canonically embedded varieties. We also show that normal complete interswections in homogeneous varieties have this property.