| ID | 57811 |
| FullText URL | |
| Author |
Ohara, Mariko
Department of Mathematical Sciences Shinshu University
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| Abstract | In this paper, we study K-theory of spectral schemes by using locally free sheaves. Let us regard the K-theory as a functor K on affine spectral schemes. Then, we prove that the group completion
ΩBG(BGGL) represents the sheafification of K with respect to Zariski (resp. Nisnevich) topology G, where BGGL is a classifying space of a colimit of affine spectral schemes GLn.
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| Keywords | Infinity category
Derived algebraic geometry
K-theory
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| Note | Mathematics Subject Classification. Primary 18E99; Secondary 19D10
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| Published Date | 2020-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume62
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 1
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| End Page | 25
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol62/iss1/1
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