Separated and complete adelic models for one-dimensional Noetherian tensor-triangulated categories
Separated and complete adelic models for one-dimensional Noetherian tensor-triangulated categories
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DOI：
10.1016/j.jpaa.2022.107109
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发表时间：
2021-06
期刊：
影响因子：
--
通讯作者：
Scott Balchin;J. Greenlees
中科院分区：
文献类型：
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作者：
Scott Balchin;J. Greenlees
证明了Balmer谱为一维Noether拓扑空间的严格小生成张量三角范畴的各种Adelic型模型的存在性。给出几何模型的一般程序的这一特殊情况是特别具体和容易理解的，我们用代数、几何、拓扑学和表示论的例子来说明它。
We prove the existence of various adelic-style models for rigidly small-generated tensor-triangulated categories whose Balmer spectrum is a one-dimensional Noetherian topological space. This special case of our general programme of giving adelic models is particularly concrete and accessible, and we illustrate it with examples from algebra, geometry, topology and representation theory.