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- W2185013731 abstract "Let R be a regular semi-local domain containing a field such that all the residue fields are infinite. Let K be the fraction field of R. Let q be a quadratic space over R on a free rank n R-module P such that the projective quadric q=0 is smooth over R. It is proved that if the quadratic space q is isotropic over K, then there is a unimodular vector v in the free rank n R-module P such that q(v)=0. If characteristic of R is 2, then in the case of even n our assumption on q is equivalent to the one that q is a non-singular space in the sense of cite{Kn} and in the case of odd n > 2 our assumption on q is equivalent to the one that q is a semi-regular in the sense of cite{Kn}." @default.
- W2185013731 created "2016-06-24" @default.
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- W2185013731 date "2013-02-20" @default.
- W2185013731 modified "2023-09-27" @default.
- W2185013731 title "Rationally trivial quadratic spaces are locally trivial:III" @default.
- W2185013731 cites W1496887040 @default.
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