On the Witt vector Frobenius

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

On the Witt vector Frobenius. / Davis, Christopher James; Kedlaya, Kiran.

I: Proceedings of the American Mathematical Society, Bind 142, Nr. 7, 2014, s. 2211-2226.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Davis, CJ & Kedlaya, K 2014, 'On the Witt vector Frobenius', Proceedings of the American Mathematical Society, bind 142, nr. 7, s. 2211-2226. https://doi.org/10.1090/S0002-9939-2014-11953-8

APA

Davis, C. J., & Kedlaya, K. (2014). On the Witt vector Frobenius. Proceedings of the American Mathematical Society, 142(7), 2211-2226. https://doi.org/10.1090/S0002-9939-2014-11953-8

Vancouver

Davis CJ, Kedlaya K. On the Witt vector Frobenius. Proceedings of the American Mathematical Society. 2014;142(7):2211-2226. https://doi.org/10.1090/S0002-9939-2014-11953-8

Author

Davis, Christopher James ; Kedlaya, Kiran. / On the Witt vector Frobenius. I: Proceedings of the American Mathematical Society. 2014 ; Bind 142, Nr. 7. s. 2211-2226.

Bibtex

@article{e48917e0fca34b35acf55989258af56d,
title = "On the Witt vector Frobenius",
abstract = "We study the kernel and cokernel of the Frobenius map on the p-typical Witt vectors of a commutative ring, not necessarily of characteristic p. We give many equivalent conditions to surjectivity of the Frobenius map on both finite and infinite length Witt vectors. In particular, surjectivity on finite Witt vectors turns out to be stable under certain integral extensions; this provides a clean formulation of a strong generalization of Faltings{\textquoteright}s almost purity theorem from p-adic Hodge theory, incorporating recent improvements by Kedlaya–Liu and by Scholze.",
author = "Davis, {Christopher James} and Kiran Kedlaya",
year = "2014",
doi = "10.1090/S0002-9939-2014-11953-8",
language = "English",
volume = "142",
pages = "2211--2226",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "7",

}

RIS

TY - JOUR

T1 - On the Witt vector Frobenius

AU - Davis, Christopher James

AU - Kedlaya, Kiran

PY - 2014

Y1 - 2014

N2 - We study the kernel and cokernel of the Frobenius map on the p-typical Witt vectors of a commutative ring, not necessarily of characteristic p. We give many equivalent conditions to surjectivity of the Frobenius map on both finite and infinite length Witt vectors. In particular, surjectivity on finite Witt vectors turns out to be stable under certain integral extensions; this provides a clean formulation of a strong generalization of Faltings’s almost purity theorem from p-adic Hodge theory, incorporating recent improvements by Kedlaya–Liu and by Scholze.

AB - We study the kernel and cokernel of the Frobenius map on the p-typical Witt vectors of a commutative ring, not necessarily of characteristic p. We give many equivalent conditions to surjectivity of the Frobenius map on both finite and infinite length Witt vectors. In particular, surjectivity on finite Witt vectors turns out to be stable under certain integral extensions; this provides a clean formulation of a strong generalization of Faltings’s almost purity theorem from p-adic Hodge theory, incorporating recent improvements by Kedlaya–Liu and by Scholze.

U2 - 10.1090/S0002-9939-2014-11953-8

DO - 10.1090/S0002-9939-2014-11953-8

M3 - Journal article

VL - 142

SP - 2211

EP - 2226

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 7

ER -

ID: 64389320