Geodesic
On the nonexcellence of field extensions $F(\pi)/F$
Documenta mathematica, Tome 1 (1996), pp. 127-136.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: For any $n\ge3$, we construct a field $F$ and an $n$-fold Pfister form $\varphi$ such that the field extension $F(\varphi)/F$ is not excellent. We prove that $F(\varphi)/F$ is universally excellent if and only if $\varphi$ is a Pfister neighbor of dimension $\le4$.
Classification : 11E04, 11E81, 12F20
Keywords: quadratic forms, Pfister forms, excellent field extensions 
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     title = {On the nonexcellence of field extensions $F(\pi)/F$},
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     year = {1996},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_1996__1__a14/}
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Izhboldin, O.T. On the nonexcellence of field extensions $F(\pi)/F$. Documenta mathematica, Tome 1 (1996), pp. 127-136. http://geodesic.mathdoc.fr/item/DOCMA_1996__1__a14/