摘要翻译:
利用热带化的泛函性和托里子变种投影的几何性质,证明了热带化图的纤维在Zariski拓扑中是稠密的。对于广义幂级数域上环面的子变体,利用Kedlaya的牛顿法的超限形式“构造性地”得到了每个热带纤维上的点。
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英文标题:
《Fibers of tropicalization》
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作者:
Sam Payne
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最新提交年份:
2008
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分类信息:
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:
We use functoriality of tropicalization and the geometry of projections of subvarieties of tori to show that the fibers of the tropicalization map are dense in the Zariski topology. For subvarieties of tori over fields of generalized power series, points in each tropical fiber are obtained "constructively" using Kedlaya's transfinite version of Newton's method.
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PDF链接:
https://arxiv.org/pdf/0705.1732


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