Cdh descent, cdarc descent, and Milnor excision

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Cdh descent, cdarc descent, and Milnor excision. / Elmanto, Elden; Hoyois, Marc; Iwasa, Ryomei; Kelly, Shane.

In: Mathematische Annalen, Vol. 379, 2021, p. 1011–1045.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Elmanto, E, Hoyois, M, Iwasa, R & Kelly, S 2021, 'Cdh descent, cdarc descent, and Milnor excision', Mathematische Annalen, vol. 379, pp. 1011–1045. https://doi.org/10.1007/s00208-020-02083-5

APA

Elmanto, E., Hoyois, M., Iwasa, R., & Kelly, S. (2021). Cdh descent, cdarc descent, and Milnor excision. Mathematische Annalen, 379, 1011–1045. https://doi.org/10.1007/s00208-020-02083-5

Vancouver

Elmanto E, Hoyois M, Iwasa R, Kelly S. Cdh descent, cdarc descent, and Milnor excision. Mathematische Annalen. 2021;379:1011–1045. https://doi.org/10.1007/s00208-020-02083-5

Author

Elmanto, Elden ; Hoyois, Marc ; Iwasa, Ryomei ; Kelly, Shane. / Cdh descent, cdarc descent, and Milnor excision. In: Mathematische Annalen. 2021 ; Vol. 379. pp. 1011–1045.

Bibtex

@article{0d0e0025fdaa4ab1a2ee45ff13872109,
title = "Cdh descent, cdarc descent, and Milnor excision",
abstract = "We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh ∞-topos of a quasi-compact quasi-separated scheme of finite valuative dimension is hypercomplete, extending a theorem of Voevodsky to nonnoetherian schemes. As an application, we show that if E is a motivic spectrum over a field k which is n-torsion for some n invertible in k, then the cohomology theory on k-schemes defined by E satisfies Milnor excision.",
author = "Elden Elmanto and Marc Hoyois and Ryomei Iwasa and Shane Kelly",
year = "2021",
doi = "10.1007/s00208-020-02083-5",
language = "English",
volume = "379",
pages = "1011–1045",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer",

}

RIS

TY - JOUR

T1 - Cdh descent, cdarc descent, and Milnor excision

AU - Elmanto, Elden

AU - Hoyois, Marc

AU - Iwasa, Ryomei

AU - Kelly, Shane

PY - 2021

Y1 - 2021

N2 - We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh ∞-topos of a quasi-compact quasi-separated scheme of finite valuative dimension is hypercomplete, extending a theorem of Voevodsky to nonnoetherian schemes. As an application, we show that if E is a motivic spectrum over a field k which is n-torsion for some n invertible in k, then the cohomology theory on k-schemes defined by E satisfies Milnor excision.

AB - We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh ∞-topos of a quasi-compact quasi-separated scheme of finite valuative dimension is hypercomplete, extending a theorem of Voevodsky to nonnoetherian schemes. As an application, we show that if E is a motivic spectrum over a field k which is n-torsion for some n invertible in k, then the cohomology theory on k-schemes defined by E satisfies Milnor excision.

UR - http://www.scopus.com/inward/record.url?scp=85091303365&partnerID=8YFLogxK

U2 - 10.1007/s00208-020-02083-5

DO - 10.1007/s00208-020-02083-5

M3 - Journal article

AN - SCOPUS:85091303365

VL - 379

SP - 1011

EP - 1045

JO - Mathematische Annalen

JF - Mathematische Annalen

SN - 0025-5831

ER -

ID: 258028212