热带几何中的广义Puixix级数场
A Field of Generalised Puiseux Series for Tropical Geometry
摘要:
本文定义了一个特征为零的域K,其赋值群为实数,并证明了这个广义Pui-x级数域关于其赋值所诱导的范数是代数闭的和完备的.我们认为这个领域是一个很好的候选人的热带几何的基本领域。
英文摘要:
In this paper we define a field K of characteristic zero with valuation whose value group is the real numbers, and we show that this field of generalised Puiseux series is algebraically closed and complete with respect to the norm induced by its valuation. We consider this field to be a good candidate for the base field for tropical geometry.
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