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arxiv: 1101.5133 · v1 · pith:YDLT5VH7new · submitted 2011-01-26 · 🧮 math.AP

Periodic solutions of Abreu's equation

classification 🧮 math.AP
keywords abreuequationperiodicabeliancurvaturedimensionhandinterpreted
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We solve Abreu's equation with periodic right hand side, in any dimension. This can be interpreted as prescribing the scalar curvature of a torus invariant metric on an Abelian variety.

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