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arXiv:0905.2054 [math.AG]AbstractReferencesReviewsResources

Examples of non-symmetric Kähler-Einstein toric Fano manifolds

Benjamin Nill, Andreas Paffenholz

Published 2009-05-13, updated 2010-09-06Version 2

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.

Comments: AMS-LaTeX, 8 pages; final version (references updated)
Categories: math.AG, math.CO, math.DG
Subjects: 14J45, 14M25, 32Q20, 52B20, 53C25
Related articles:
arXiv:math/0111116 [math.AG] (Published 2001-11-09)
Stability and Futaki Invariants of Fano Hypersurfaces
arXiv:0706.0751 [math.AG] (Published 2007-06-06, updated 2015-01-01)
Log canonical thresholds of certain Fano hypersurfaces

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