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arXiv · 1503.06847

A Bernstein result and counterexample for entire solutions to Donaldson's equation

Micah Warren
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Abstract

We show that convex entire solutions to Donaldson's equation are quadratic, using a result of Weiyong He. We also exhibit entire solutions to the Donaldson equation that are not of the form discussed by He. In the process we discover some non-trivial entire solutions to complex Monge-Ampère equations.

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Micah Warren. 2015-03-23. A Bernstein result and counterexample for entire solutions to Donaldson's equation. https://arxiv.org/abs/1503.06847

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