Examples of Non-symmetric Kähler-einstein Toric Fano Manifolds

نویسندگان

  • BENJAMIN NILL
  • ANDREAS PAFFENHOLZ
چکیده

Let us first recall our setting. In the toric case, there is a correspondence between n-dimensional nonsingular Fano varieties and ndimensional Fano polytopes, where the Fano varieties are biregular isomorphic if and only if the corresponding Fano polytopes are unimodularly equivalent. Here, given a lattice N of rank n, a Fano polytope Q ⊆ NR := N ⊗Z R is given as a lattice polytope containing the origin strictly in its interior such that the vertices of any facet of Q form a lattice basis of M . In this case, when we denote the dual lattice by M , the dual polytope is given as

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تاریخ انتشار 2009