A direct approach to Bergman kernel asymptotics for positive line bundles

• DOI: 10.1007/s11512-008-0077-x
• Publication Date: 2008-05-05T13:09:48Z
• Authors: Robert Berman; Bo Berndtsson; Johannes Sjöstrand
• Keywords: Bergman kernel; Kernel (algebra); Asymptotic expansion; Line (geometry); Ample line bundle; Manifold (fluid mechanics)

We give an elementary proof of the existence asymptotic expansion in powers k Bergman kernel associated to Lk, where L is a positive line bundle over compact complex manifold. also algorithm for computing coefficients expansion.