Theta function and Bergman metric on Abelian varieties

Xiaowei Wang; Hok Pun Yu

Theta function and Bergman metric on Abelian varieties

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	19-35
Number of pages	17
Journal	New York Journal of Mathematics
Volume	15
State	Published - Feb 9 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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abstract = "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.",

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