Examples of non-symmetric K\"ahler-Einstein toric Fano manifolds
Algebraic Geometry
2010-09-08 v2 Combinatorics
Differential Geometry
Abstract
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.
Cite
@article{arxiv.0905.2054,
title = {Examples of non-symmetric K\"ahler-Einstein toric Fano manifolds},
author = {Benjamin Nill and Andreas Paffenholz},
journal= {arXiv preprint arXiv:0905.2054},
year = {2010}
}
Comments
AMS-LaTeX, 8 pages; final version (references updated)