Meta
- CiteKey: “BGN21”
- Type: report
- Title: “The standard realizations for the K-theory of varieties,”
- Author: “Braunling, Oliver; Groechenig, Michael; Nanavaty, Anubhav;”\
- Publisher: “arXiv,”
- Year: 2021
- Collections: “Syllabus; Talbot 2022,”
- Keywords: “Mathematics - Algebraic Geometry”; “Mathematics - Algebraic Topology”
- URL: http://arxiv.org/abs/2107.01168
- Open in Zotero: Zotero
Abstract
The Grothendieck ring of varieties has well-known realization maps to, say, mixed Hodge structures or compactly supported \(\ell\)-adic cohomology. Zakharevich and Campbell have developed {a spectral refinement} of the Grothendieck ring of varieties. We develop a realization map to Voevodsky mixed motives, and this lifts the standard realizations of motives to this setting, at least over perfect fields which have resolution of singularities.
Extracted Annotations
Annotations(6/8/2022, 8:26:54 PM)
File:BGN21_67YSU6XV.png (Braunling et al., 2021, p. 1)
File:BGN21_VWJTIQBM.png (Braunling et al., 2021, p. 1)
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File:BGN21_XN5KKB4U.png (Braunling et al., 2021, p. 2)
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File:BGN21_X9EBPJGD.png (Braunling et al., 2021, p. 4)
File:BGN21_N8SQPGIS.png (Braunling et al., 2021, p. 4)
File:BGN21_TJUDXYCC.png (Braunling et al., 2021, p. 5)
File:BGN21_8NA4RYCR.png (Braunling et al., 2021, p. 5)
File:BGN21_VA66GRNI.png (Braunling et al., 2021, p. 5)
File:BGN21_QBP8IUU2.png (Braunling et al., 2021, p. 5)
File:BGN21_5J2UV3B7.png (Braunling et al., 2021, p. 5)
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File:BGN21_3THG7VJM.png (Braunling et al., 2021, p. 6)
File:BGN21_9XZIEMI9.png (Braunling et al., 2021, p. 6)
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File:BGN21_FQ9GR8TB.png (Braunling et al., 2021, p. 10)
File:BGN21_67E3SCXW.png (Braunling et al., 2021, p. 10)
File:BGN21_UC4ZMTGW.png (Braunling et al., 2021, p. 12)
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File:BGN21_3H9X2PQE.png (Braunling et al., 2021, p. 13)
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File:BGN21_6X4NUECR.png (Braunling et al., 2021, p. 16)
File:BGN21_RFG7TNMB.png (Braunling et al., 2021, p. 17)
File:BGN21_BCGAIWLJ.png (Braunling et al., 2021, p. 17)
