2009/05/13 by Benjamin Nill, Nill, Benjamin, Andreas Paffenholz +1
Mathematics · #14J45 #14M25 #32Q20 #52B20 #53C25 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.CO #math.DG #msc:14J45 #msc:14M25 #msc:32Q20 #msc:52B20 #msc:53C25
paper · pdf · doi:10.48550/arxiv.0905.2054
AMS-LaTeX, 8 pages; final version (references updated)
arxiv created 2010/09/06 · arxiv updated 2010/09/08
In this note we report on examples of 7- and 8-dimensional toric Fano manifolds that are not symmetric and still admit a Kaehler-Einstein metric. This answers a question first posed by V.V. Batyrev and E. Selivanova. The examples were found in the classification of toric Fano manifolds up to dimension 8 obtained by M. Oebro. We also discuss related open questions and conjectures.