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Invariants and discriminant ideals of or...

Murata, Manabu...

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Invariants and discriminant ideals of orthogonal complements in a quadratic space by Murata, Manabu ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	04-07-2023
Summary	This paper studies two topics concerning on the orthogonal complement of one dimensional subspace with respect to a given quadratic form on a vector space over a number field. One is to determine the invariants for the isomorphism class of such a complement in the sense of Shimura. The other is to investigate an ideal of the base field, which may be viewed as a difference between the genus of maximal lattices and an integral lattice in the complement. We shall discuss about the class number of the genus of maximal lattices as an application.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1112.2454

Citation

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AMA 11th EditionReferences

Murata, Manabu. Invariants and discriminant ideals of orthogonal complements in a quadratic space. Australian National University. July 04, 2023. Accessed September 19, 2024. https://online.provdatabase.com/cite/5231

APA 7th EditionReferences

Murata, Manabu. (2023). Invariants and discriminant ideals of orthogonal complements in a quadratic space. Australian National University. https://online.provdatabase.com/cite/5231

Chicago 17th EditionReferences

Murata, Manabu. Invariants and discriminant ideals of orthogonal complements in a quadratic space. Australian National University. 2023. https://online.provdatabase.com/cite/5231

HarvardReferences

Murata, Manabu. (2023). Invariants and discriminant ideals of orthogonal complements in a quadratic space. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5231. (Accessed 19 September 2024).

Harvard AustraliaReferences

Murata, Manabu, 2023, Invariants and discriminant ideals of orthogonal complements in a quadratic space, Australian National University, viewed 19 September 2024, <https://online.provdatabase.com/cite/5231>

MLA 9th EditionWorks Cited

Murata, Manabu. Invariants and discriminant ideals of orthogonal complements in a quadratic space. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5231.

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