Berkovich Skeleta and Birational Geometry
Berkovich Skeleta and Birational Geometry
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伯科维奇骨骼和双有理几何
DOI：
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发表时间：
2014
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通讯作者：
J. Nicaise
中科院分区：
文献类型：
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作者：
J. Nicaise
本文综述了与Mircea Mustaţă和Chenyang Xu共同研究的Laurent级数域上Berkovich空间的几何与光滑射影变的单参数退化的双元几何之间的联系。我们理论的中心对象是权函数和退化的基本骨架。我们试图保持文本的自成一体，这样它就可以作为birational几何学的介绍。
We give a survey of joint work with Mircea Mustaţă and Chenyang Xu on the connections between the geometry of Berkovich spaces over the field of Laurent series and the birational geometry of one-parameter degenerations of smooth projective varieties. The central objects in our theory are the weight function and the essential skeleton of the degeneration. We tried to keep the text self-contained, so that it can serve as an introduction to Berkovich geometry for birational geometers.