The Arithmetic and the Geometry of Kobayashi Hyperbolicity
The Arithmetic and the Geometry of Kobayashi Hyperbolicity
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小林双曲的算术和几何
DOI：
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发表时间：
2004
期刊：
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通讯作者：
Izzet Coskun
中科院分区：
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作者：
Izzet Coskun
属大于1的曲线表现出算术和几何性质，与属0和属1的曲线非常不同。在这些笔记中，我们将研究几种将这些性质外推到高维复流形的方法。我们将特别关注Brody和Kobayashi双曲性，它们是高属曲线复解析性质的推广。区分二格或二格以上曲线与零格和一格曲线的基本度量和几何性质可以列出如下。(1)多元序列的维度，h
Curves of genus greater than one exhibit arithmetic and geometric propertiesvery different from curves of genus zero and one. In these notes we will survey afew waysof extrapolatingthese properties to higher dimensional complex manifolds.We will specifically concentrate on Brody and Kobayashi hyperbolicity, which aregeneralizations of complex analytic properties of higher genus curves.The basic metric and geometric properties that distinguish curves of genus twoor more from curves of genus zero and one can be listed as follows.(1) The dimension ofthe pluricanonicalseries, h