The u-invariant of p-adic function fields
2013 ◽
Vol 2013
(679)
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pp. 65-73
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Keyword(s):
Abstract Over a finitely generated field extension in m variables over a p-adic field, any quadratic form in more than 2m + 2 variables has a nontrivial zero. This bound is sharp. We extend this result to a wider class of fields. A key ingredient to our proofs is a recent result of Heath-Brown on systems of quadratic forms over p-adic fields.
Keyword(s):
1997 ◽
Vol 55
(2)
◽
pp. 293-297
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Keyword(s):
2007 ◽
Vol 03
(04)
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pp. 541-556
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2014 ◽
Vol 57
(3)
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pp. 579-590
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Keyword(s):
2017 ◽
Vol 26
(14)
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pp. 1750102
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Keyword(s):