[en] We give for the Kaehler manifold case an overview of the constructions of some naturally defined star products (i.e. deformation quantizations).
In particular, the Berezin-Toeplitz, Berezin, geometric Quantization, Bordemann-Waldmann, and Karabegov standard star product are introduced. The mathematical background is explained.
With the exception of the Geometric Quantization case these star products are of separation of variables type, i.e. respecting the complex structure.
The classifying Karabegov forms and the Deligne-Fedosov classes are given. Moreover, it is shown how these star products relate.