• 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
  • Pages
    7
  • From page
    422
  • To page
    428
  • 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
  • Serial Year
    2014
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1564157