Remarks on abelian surfaces in nonsingular toric Fano 4-folds
  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. 
Hiroshi Sato