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arXiv 2005.09789math.AGmath.CT
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2类中的附加项

Adjunction in 2-categories

D. Kaledin

摘要:

我们概述了arXiv:2004.04279中处理2-categories的部分,直到并包括adjunction,并解释了那里采用的Segal类型的2-categories方法如何与更标准的方法相关。作为应用,我们构造了诺特环上的导出Morita和Fourier-Mukai 2-范畴,并给出了如何将一个范畴嵌入到另一个范畴中.

英文摘要:

We give an overview of the parts of arXiv:2004.04279 that deal with 2-categories, up to and including adjunction, and explain how the Segal-type approach to 2-categories adopted there is related to the more standard approaches. As an application, we construct the derived Morita and the Fourier-Mukai 2-categories over a Noetherian ring, and show how to embed one into the other.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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