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Xiaowei Wang and
Hok Pun Yu
Theta function and Bergman metric on Abelian varieties
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| Published: |
January 22, 2009
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| Keywords: |
Theta function, Abelian variety, Bergman metric |
| Subject: |
11G10, 32Q20 |
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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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| Acknowledgements
The work is partially supported by RGC grant CUHK403106 from the Hong Kong government.
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| Author information
The Chinese University of Hong Kong, Sha Tin, N.T., Hong Kong
xiaowei@math.cuhk.edu.hk
hpyu@math.cuhk.edu.hk
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