Mathematical Research Letters

Volume 18 (2011)

Number 6

Periodic solutions of Abreu’s equation

Pages: 1271 – 1279

DOI: https://dx.doi.org/10.4310/MRL.2011.v18.n6.a15

Authors

Renjie Feng

Gábor Székelyhidi

Abstract

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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Published 20 February 2012