Numerical obstructions to abelian surfaces in toric Fano 4-folds

2007/10/23 by G. K. Sankaran, Sankaran, G. K.
Mathematics · #14E05 #14K05 #14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E05 #msc:14K05 #msc:14M25

paper · pdf · doi:10.48550/arxiv.0710.4284

arxiv created 2007/10/23 · arxiv updated 2009/12/01

Abstract

Some of the 124 toric Fano 4-folds contain abelian surfaces but most do not: in a few cases it is not known whether they do or not. By elementary methods, with a little computer help, we exclude some more possibilities.

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• Numerical obstructions to abelian surfaces in toric Fano 4-fold

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