Abstract
We show that the generalized Kahler–Ricci soliton equation on \(4\)-dimensional toric Kahler orbifolds reduces to ODEs assuming there is a Hamiltonian \(2\)-form. This leads to an explicit resolution of this equation on labelled triangles and convex labelled quadrilaterals. In particular, we give the explicit expression of the Kahler–Ricci solitons of weighted projective planes as well as new examples.
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