Small zeros of quadratic forms over rational function fields. Let k be a field of characteristic ... more Small zeros of quadratic forms over rational function fields. Let k be a field of characteristic different from 2 and t an indeterminate over k. Let q)~ 0 be a quadratic form in n variables with coefficients (Plj = (Pjl in k Et]. We show that if cp vanishes on a d-dimensional subspace of k(t) n, then there is n-d a zero (xl ..... xn)6k[t]"-{(0 ..... 0)} with max {degxl} ~ max {deg cp~j}. We also show, that the 2d n-d factor-is best possible. 2d 199 t Mathematics Subject Classification: 11 H55
Small zeros of quadratic forms over rational function fields. Let k be a field of characteristic ... more Small zeros of quadratic forms over rational function fields. Let k be a field of characteristic different from 2 and t an indeterminate over k. Let q)~ 0 be a quadratic form in n variables with coefficients (Plj = (Pjl in k Et]. We show that if cp vanishes on a d-dimensional subspace of k(t) n, then there is n-d a zero (xl ..... xn)6k[t]"-{(0 ..... 0)} with max {degxl} ~ max {deg cp~j}. We also show, that the 2d n-d factor-is best possible. 2d 199 t Mathematics Subject Classification: 11 H55
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