On the nonexcellence of field extensions

  • O.T. Izhboldin

On the nonexcellence of field extensions $F(\pi)/F$ cover
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Abstract

For any , we construct a field and an -fold Pfister form such that the field extension is not excellent. We prove that is universally excellent if and only if is a Pfister neighbor of dimension .

Cite this article

O.T. Izhboldin, On the nonexcellence of field extensions . Doc. Math. 1 (1996), pp. 127–136

DOI 10.4171/DM/6