THE TIAN–YAU–ZELDITCH ASYMPTOTIC EXPANSION FOR REAL ANALYTIC KÄHLER METRICS

Abstract

Let M be a compact Kähler manifold endowed with a real analytic and polarized Kähler metric g and let T mω (x) be the corresponding Kempf's distortion function. In this paper we compute the coefficients of Tian–Yau–Zelditch asymptotic expansion of T mω (x) using quantization techniques alternative to Lu's computations in [10].