Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584037 | Journal of Algebra | 2016 | 9 Pages |
Abstract
Let k be a field of characteristic distinct from 2, f1, f2, f3 quadratic forms in 3 variables over k. We prove that these forms have a common zero over k if and only if the quadratic form u1f1+u2f2+u3f3 is isotropic over the field k(u1,u2,u3) and the cubic form det(t1f1+t2f2+t3f3) in variables t1, t2, t3 is isotropic over k. We also consider a similar question for n quadratic forms in 3 variables where nâ¥4.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A.S. Sivatski,