Blow-up in manifolds with generalized corners
Blow-up in manifolds with generalized corners
复制标题
具有广义角的流形的吹胀
DOI：
10.1093/imrn/rnw312
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Chris Kottke
中科院分区：
文献类型：
--
作者：
Chris Kottke
我们构造了一个从具有广义角的流形范畴到环面么半群的复形范畴的函子，并且证明了对于与流形相关的复形的每一个‘精化’，都存在唯一的‘Blow-up’，即到原始流形的一个新的流形映射，它满足一个普适性质，它的复形实现了这个精化。这在一定程度上是受到Gillam和Molcho的工作的启发，尽管我们使用由Joyce开发的具有广义角的流形，这些流形具有嵌入的边界面，对于这些边界面，适当的对象(即么半群的复形)比没有嵌入边界面的对象(即加藤意义上的么半群空间)更简单。
We construct a functor from the category of manifolds with generalized corners to the category of complexes of toric monoids, and for every `refinement' of the complex associated to a manifold, we show there is a unique `blow-up', i.e., a new manifold mapping to the original one, which satisfies a universal property and whose complex realizes the refinement. This was inspired in part by the work of Gillam and Molcho, though we work with manifolds with generalized corners, as developed by Joyce, which have embedded boundary faces, for which the appropriate objects (i.e., complexes of monoids) are simpler than they would be otherwise (i.e., monoidal spaces in the sense of Kato).
对数结构的骨架和扇形
DOI：
10.1007/978-3-319-30945-3
发表时间：
2016
期刊：
Nonarchimedean and Tropical Geometry
影响因子：
--
作者：
Abramovich, Dan;Chen, Qile;Marcus, Steffen;Ulirsch, Martin;Wise, Jonathan
通讯作者：
Wise, Jonathan
影响因子：
1.7
作者：
Joyce D
通讯作者：
Joyce D