K. Zemková

collaborators

2 papers

math.NT2023

Isotropy and full splitting pattern of quasilinear $p$ -forms

Kristýna Zemková

For a quasilinear $p$ -form defined over a field $F$ of characteristic $p > 0$ , we prove that its defect over the field $F (p^{n_{1}} a_{1}, \dots, p^{n_{r}} a_{r})$ equals to…

math.NT2019

There are no universal ternary quadratic forms over biquadratic fields

Jakub Krásenský, Magdaléna Tinková, Kristýna Zemková

We study totally positive definite quadratic forms over the ring of integers $O_{K}$ of a totally real biquadratic field $K = Q (m, s)$ . We restrict our…

Isotropy and full splitting pattern of quasilinear p-forms

There are no universal ternary quadratic forms over biquadratic fields

Isotropy and full splitting pattern of quasilinear $p$ -forms