New York Journal of Mathematics
Volume 15 (2009) 19-35


Xiaowei Wang and Hok Pun Yu

Theta function and Bergman metric on Abelian varieties

Published: January 22, 2009
Keywords: Theta function, Abelian variety, Bergman metric
Subject: 11G10, 32Q20

In this note, we find explicit balanced embeddings for a principally polarized Abelian variety. As a consequence, we are able to give a very simple proof of the fact (cf. Donaldson, 2001) that balanced metrics converge to the flat metric.


The work is partially supported by RGC grant CUHK403106 from the Hong Kong government.

Author information

The Chinese University of Hong Kong, Sha Tin, N.T., Hong Kong