A note on quadratic forms

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Standard

A note on quadratic forms. / Hebestreit, Fabian; Krause, Achim; Ramzi, Maxime.

In: Bulletin of the London Mathematical Society, 2024.

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

Harvard

Hebestreit, F, Krause, A & Ramzi, M 2024, 'A note on quadratic forms', Bulletin of the London Mathematical Society. https://doi.org/10.1112/blms.13028

APA

Hebestreit, F., Krause, A., & Ramzi, M. (2024). A note on quadratic forms. Bulletin of the London Mathematical Society. https://doi.org/10.1112/blms.13028

Vancouver

Hebestreit F, Krause A, Ramzi M. A note on quadratic forms. Bulletin of the London Mathematical Society. 2024. https://doi.org/10.1112/blms.13028

Author

Hebestreit, Fabian ; Krause, Achim ; Ramzi, Maxime. / A note on quadratic forms. In: Bulletin of the London Mathematical Society. 2024.

Bibtex

@article{cec2d72421f34c74a03fb010f2f58dde,
title = "A note on quadratic forms",
abstract = "For a field extension (Formula presented.) we consider maps that are quadratic over (Formula presented.) but whose polarisation is only bilinear over (Formula presented.). Our main result is that all such are automatically quadratic forms over (Formula presented.) in the usual sense if and only if (Formula presented.) is formally unramified. In particular, this shows that over finite and number fields, one of the axioms in the standard definition of quadratic forms is superfluous.",
author = "Fabian Hebestreit and Achim Krause and Maxime Ramzi",
note = "Publisher Copyright: {\textcopyright} 2024 The Authors. Bulletin of the London Mathematical Society is copyright {\textcopyright} London Mathematical Society.",
year = "2024",
doi = "10.1112/blms.13028",
language = "English",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",

}

RIS

TY - JOUR

T1 - A note on quadratic forms

AU - Hebestreit, Fabian

AU - Krause, Achim

AU - Ramzi, Maxime

N1 - Publisher Copyright: © 2024 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.

PY - 2024

Y1 - 2024

N2 - For a field extension (Formula presented.) we consider maps that are quadratic over (Formula presented.) but whose polarisation is only bilinear over (Formula presented.). Our main result is that all such are automatically quadratic forms over (Formula presented.) in the usual sense if and only if (Formula presented.) is formally unramified. In particular, this shows that over finite and number fields, one of the axioms in the standard definition of quadratic forms is superfluous.

AB - For a field extension (Formula presented.) we consider maps that are quadratic over (Formula presented.) but whose polarisation is only bilinear over (Formula presented.). Our main result is that all such are automatically quadratic forms over (Formula presented.) in the usual sense if and only if (Formula presented.) is formally unramified. In particular, this shows that over finite and number fields, one of the axioms in the standard definition of quadratic forms is superfluous.

U2 - 10.1112/blms.13028

DO - 10.1112/blms.13028

M3 - Journal article

AN - SCOPUS:85189795773

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

ER -

ID: 389924564