Remarks on abelian surfaces in nonsingular toric Fano 4-folds

2002/01/26 by Hiroshi Sato, Hiroshi Satō, Sato, Hiroshi
Mathematics · #14J45 #14K12 #14M25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG #msc:14J45 #msc:14K12 #msc:14M25

paper · pdf · doi:10.48550/arxiv.math/0201257

21 pages, Latex2e

arxiv created 2002/01/26 · openalex publication_date 2002/01/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate whether the 124 nonsingular toric Fano 4-folds admit totally nondegenerate embeddings from abelian surfaces or not. As a result, we determine the possibilities for such embeddings except for the remaining 21 nonsingular toric Fano 4-folds.

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