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arXiv · 1305.2998

A removal singularity theorem of the Donaldson-Thomas instantons on compact Kähler threefolds

Yuuji Tanaka
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Abstract

We consider a perturbed Hermitian-Einstein equation, which we call the Donaldson-Thomas equation, on compact Kähler threefolds. In arXiv:0805.2195, we analysed some analytic properties of solutions to the equation, in particular, we proved that a sequence of solutions to the Donaldson-Thomas equation has a subsequence which smoothly converges to a solution to the Donaldson-Thomas equation outside a closed subset of the Hausdorff dimension two. In this article, we prove that some of these singularities can be removed.

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Yuuji Tanaka. 2013-09-29. A removal singularity theorem of the Donaldson-Thomas instantons on compact Kähler threefolds. https://doi.org/10.1016/j.jmaa.2013.09.053

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