A note on generic splitting of quadratic forms

Author	dc.contributor.author	Aravire, Roberto
Author	dc.contributor.author	Baeza, Ricardo
Admission date	dc.date.accessioned	2018-12-20T14:06:45Z
Available date	dc.date.available	2018-12-20T14:06:45Z
Publication date	dc.date.issued	1999
Cita de ítem	dc.identifier.citation	Communications in Algebra, Volumen 27, Issue 7, 2018, Pages 3473-3477
Identifier	dc.identifier.issn	00927872
Identifier	dc.identifier.other	10.1080/00927879908826638
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/153976
Abstract	dc.description.abstract	Let F be a field of any characteristic. For n ≥ 0, let J(n) = {q̄ ∈ Wq(F)\| deg(q) ≥ n}. The degree conjecture asserts that for each n ≥ 0 (DC) J(n) = InWq(F) Let p be any n-fold quadratic Pfister form over F and F(p) the function field of p. Then the function field conjecture asserts (FFC) ker [InWq(F)/In+1Wq(F) → InWq(F(p))/In+1Wq(F(p))] = {0, p̄} We prove that (DC) is equivalent to (FFC).
Lenguage	dc.language.iso	en
Publisher	dc.publisher	Marcel Dekker Inc.
Type of license	dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/
Source	dc.source	Communications in Algebra
Keywords	dc.subject	Algebra and Number Theory
Título	dc.title	A note on generic splitting of quadratic forms
Document type	dc.type	Artículo de revista
Cataloguer	uchile.catalogador	SCOPUS
Indexation	uchile.index	Artículo de publicación SCOPUS
uchile.cosecha	uchile.cosecha	SI

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile