Title of article :
A removal singularity theorem of the Donaldson–Thomas instanton on compact Kähler threefolds
Author/Authors :
Tanaka، نويسنده , , Yuuji، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2014
Abstract :
We consider a perturbed Hermitian–Einstein equation, which we call the Donaldson–Thomas equation, on compact Kähler threefolds. In [12], 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 :
Gauge field , Vector bundle , Kنhler manifold
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications