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• W1121817360 abstract "Let F be a field of characteristic p>0. Let Ωn(F) be the F-vector space of n-differentials of F over Fp. Let K=F(g) be the function field of an irreducible polynomial g in m⩾1 variables over F. We derive an explicit description of the kernel of the restriction map Ωn(F)→Ωn(K). As an application in the case p=2, we determine the kernel of the restriction map when passing from the Witt ring (resp. graded Witt ring) of symmetric bilinear forms over F to that over such a function field extension K." @default.
• W1121817360 created "2016-06-24" @default.
• W1121817360 creator A5035461563 @default.
• W1121817360 creator A5054926081 @default.
• W1121817360 date "2015-11-01" @default.
• W1121817360 modified "2023-09-29" @default.
• W1121817360 title "Differential forms and bilinear forms under field extensions" @default.
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• W1121817360 doi "https://doi.org/10.1016/j.jalgebra.2015.05.034" @default.
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