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Toric Generalized Kähler-Ricci Solitons with Hamiltonian 2-form

Toric Generalized Kähler-Ricci Solitons with Hamiltonian 2-form

We show that the generalized K\ahler-Ricci soliton equation on 4-dimensional toric K\ahler orbifolds reduces to ODEs assuming there is a Hamiltonian 2-form. This leads to an explicit resolution of this equation on labeled triangles and convex labeled quadrilaterals. In particular, we give the explicit expression of the K\ahler-Ricci solitons of …