The second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator

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.

32 pages

References in corpus (1)

• The second coefficient of the asymptotic expansion of the weighted Bergman kernel for $(0,q)$ forms on ${\mathbb{C}}^n$