An introduction to Berkovich analytic spaces and non-archimedean potential theory on curves
An introduction to Berkovich analytic spaces and non-archimedean potential theory on curves
复制标题
伯科维奇解析空间和曲线上的非阿基米德势理论简介
DOI：
10.1090/ulect/045/04
复制
发表时间：
2008
影响因子：
2.9
通讯作者：
M. Baker
中科院分区：
文献类型：
--
作者：
M. Baker
这是一套临时的课堂讲稿，是为了配合作者在2007年亚利桑那冬季学校关于p-adic几何的讲座。它部分改编自作者与R. Rumely [BR 08]，并借鉴了V. Berkovich的专著[Ber 90]，A. Thuillier的论文[Thu 05]和Rumely的书[Rum 89]。我们特意选择强调例子、图片、讨论和各种构造背后的直觉，而不是强调形式证明和严格的论证。（事实上，在这些笔记中给出的证明很少！）一旦读者对本调查中的观点有了基本的熟悉，就应该更容易理解上述来源中的材料。
This is an expository set of lecture notes meant to accompany the author’s lectures at the 2007 Arizona Winter School on p-adic geometry. It is partially adapted from the author’s monograph with R. Rumely [BR08], and also draws on ideas from V. Berkovich’s monograph [Ber90], A. Thuillier’s thesis [Thu05], and Rumely’s book [Rum89]. We have purposely chosen to emphasize examples, pictures, discussion, and the intuition behind various constructions rather than emphasizing formal proofs and rigorous arguments. (Indeed, there are very few proofs given in these notes!) Once the reader has acquired a basic familiarity with the ideas in the present survey, it should be easier to understand the material in the sources cited above.