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math.DG2011★ 8 cited
Toric Kähler-Einstein metrics and convex compact polytopes
Eveline Legendre
We show that any compact convex simple lattice polytope is the moment polytope of a Kähler-Einstein orbifold, unique up to orbifold covering and homothety. We extend the Wang-Zhu T…
math.DG2011
Toric Generalized Kähler-Ricci Solitons with Hamiltonian 2-form
Eveline Legendre, Christina W. Tønnesen-Friedman
We show that the generalized Kähler-Ricci soliton equation on 4-dimensional toric Kähler orbifolds reduces to ODEs assuming there is a Hamiltonian 2-form. This leads to an explicit…