A removal singularity theorem of the Donaldson-Thomas instantons on compact K\"ahler threefolds
Differential Geometry
2022-10-11 v3
Abstract
We consider a perturbed Hermitian-Einstein equation, which we call the Donaldson-Thomas equation, on compact K\"ahler 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.
Keywords
Cite
@article{arxiv.1305.2998,
title = {A removal singularity theorem of the Donaldson-Thomas instantons on compact K\"ahler threefolds},
author = {Yuuji Tanaka},
journal= {arXiv preprint arXiv:1305.2998},
year = {2022}
}
Comments
12 pages, minor changes, to appear in Journal of Mathematical Analysis and Applications