An explicit estimate of the Bergman kernel for positive line bundles

Abstract

We shall give an explicit estimate of the lower bound of the Bergman kernel associated to a positive line bundle. In the compact Riemann surface case, our result can be seen as an explicit version of Tian's partial $C^0$-estimate.

new version with a new proof that applies to the higher dimensional case

References in corpus (2)

• Estimates for the Bergman Kernel and the Multidimensional Suita Conjecture
• Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below, II