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Title
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Differential forms and bilinear forms under field extensions
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Author
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Abstract
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| Let F be a field of characteristic p > 0. Let Omega(n)(F) be the F-vector space of n-differentials of F over F-p. Let K = F(g) be the function field of an irreducible polynomial g in in m >= 1 variables over F. We derive an explicit description of the kernel of the restriction map Omega(n)(F) -> Omega(n)(K). As an application in the case p = 2, we determine the kernel of the restriction map when passing from the Witt ring (rasp. graded Witt ring) of symmetric bilinear forms over F to that over such a function field extension K. (C) 2015 Elsevier Inc. All rights reserved. |
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Language
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English
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Source (journal)
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Journal of algebra. - New York, N.Y., 1964, currens
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Publication
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New York, N.Y.
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Academic Press
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2015
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ISSN
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0021-8693
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DOI
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10.1016/J.JALGEBRA.2015.05.034
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Volume/pages
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441
(2015)
, p. 398-425
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ISI
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000361411700017
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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