The second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator (1212.6034v1)

Abstract: 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.