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Integrable systems and Special Kahler metrics

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 نشر من قبل Nigel Hitchin
 تاريخ النشر 2019
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 تأليف Nigel Hitchin




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We describe the Special Kahler structure on the base of the so-called Hitchin system in terms of the geometry of the space of spectral curves. It yields a simple formula for the Kahler potential. This extends to the case of a singular spectral curve and we show that this defines the Special Kahler structure on certain natural integrable subsystems. Examples include the extreme case where the metric is flat.



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