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Categorical representation of superschemes
Pure and Applied Mathematics Quarterly ( IF 0.5 ) Pub Date : 2020-12-01 , DOI: 10.4310/pamq.2020.v16.n5.a11
Yasuhiro Wakabayashi 1
Affiliation  

In the present paper, we prove that a locally noetherian superscheme $X^{\circledS}$ may be reconstructed (up to certain equivalence) category-theoretically from the category of noetherian superschemes over $X^{\circledS}$. This result is a supergeometric generalization of the result proved by Shinichi Mochizuki concerning categorical reconstruction of schemes.

中文翻译:

超级方案的分类表示

在本文中,我们证明了局部noetherian超级方案$ X ^ {\ circledS} $可以(在一定的当量范围内)重构,理论上是从$ X ^ {\ circledS} $上的noetherian超级方案的类别重建的。此结果是Shinichi Mochizuki关于方案的类别重构所证明的结果的超几何概括。
更新日期:2020-12-01
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