摘要翻译:
本文定义了一个值域群为实数的特征零点域K,并证明了这个广义Puiseux级数域对于由其值域导出的范数是代数闭完备的。我们认为这个场是热带几何学基场的一个很好的候选场。
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英文标题:
《A Field of Generalised Puiseux Series for Tropical Geometry》
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作者:
Thomas Markwig
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Commutative Algebra 交换代数
分类描述:Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
交换环,模,理想,同调代数,计算方面,不变理论,与代数几何和组合学的联系
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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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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PDF链接:
https://arxiv.org/pdf/0709.3784