The image of the natural homomorphism of Witt rings of orders in a global field

Beata Rothkegel. "The image of the natural homomorphism of Witt rings of orders in a global field." Acta Arithmetica 160.4 (2013): 349-384. <http://eudml.org/doc/279824>.

@article{BeataRothkegel2013,
abstract = {Let R be a Dedekind domain whose field of fractions is a global field. Moreover, let 𝓞 < R be an order. We examine the image of the natural homomorphism φ : W𝓞 → WR of the corresponding Witt rings. We formulate necessary and sufficient conditions for the surjectivity of φ in the case of all nonreal quadratic number fields, all real quadratic number fields K such that -1 is a norm in the extension K/ℚ, and all quadratic function fields.},
author = {Beata Rothkegel},
journal = {Acta Arithmetica},
keywords = {order; Witt ring; integral quadratic form; field of fractions},
language = {eng},
number = {4},
pages = {349-384},
title = {The image of the natural homomorphism of Witt rings of orders in a global field},
url = {http://eudml.org/doc/279824},
volume = {160},
year = {2013},
}

TY - JOUR
AU - Beata Rothkegel
TI - The image of the natural homomorphism of Witt rings of orders in a global field
JO - Acta Arithmetica
PY - 2013
VL - 160
IS - 4
SP - 349
EP - 384
AB - Let R be a Dedekind domain whose field of fractions is a global field. Moreover, let 𝓞 < R be an order. We examine the image of the natural homomorphism φ : W𝓞 → WR of the corresponding Witt rings. We formulate necessary and sufficient conditions for the surjectivity of φ in the case of all nonreal quadratic number fields, all real quadratic number fields K such that -1 is a norm in the extension K/ℚ, and all quadratic function fields.
LA - eng
KW - order; Witt ring; integral quadratic form; field of fractions
UR - http://eudml.org/doc/279824
ER -