The second coefficient of the asymptotic expansion of the Bergman kernel   of the Hodge-Dolbeault operator
  We calculate the second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator associated to high powers of a Hermitian line bundle with non-degenerate curvature, using the method of formal power series developed by Ma and Marinescu. 
Wen Lu
math.DG