可积系统和特殊Kähler度量

IF 1.3 Q1 MATHEMATICS EMS Surveys in Mathematical Sciences Pub Date : 2019-10-11 DOI:10.4171/emss/46

N. Hitchin

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引用次数: 1

摘要

我们在所谓的希钦系统的基础上，从光谱曲线空间的几何角度描述了特殊的Kahler结构。它给出了一个简单的卡勒势公式。将此推广到奇异谱曲线的情况，并证明了这定义了某些自然可积子系统上的特殊Kahler结构。例子包括度量是平的极端情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Integrable systems and Special Kähler metrics

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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