A note on the Bergman Kernel
Copyright policy )A note on the Bergman Kernel
It is known that the Bergman kernel associated with Lk, where L is positive line bundle over a complex compact manifold, has an asymptotic expansion. We give an elementary proof of the fact that the subprincipal term of this expansion is the scalar curvature.
[MATH.MATH-SG] Mathematics [math]/Symplectic Geometry [math.SG], Holomorphic bundles and generalizations, positive line bundle over a compact manifold, Integral representations; canonical kernels (Szegő, Bergman, etc.), [MATH] Mathematics [math], Bergman kernel
[MATH.MATH-SG] Mathematics [math]/Symplectic Geometry [math.SG], Holomorphic bundles and generalizations, positive line bundle over a compact manifold, Integral representations; canonical kernels (Szegő, Bergman, etc.), [MATH] Mathematics [math], Bergman kernel
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