C1 field
= C1 field
{c}
{title2=$C_1$}
= Quasi-algebraically closed field
{synonym}
A $C_1$ field is a <Ci field> with the bound $N>d$. The <Chevalley-Warning theorem> gives finite-field examples; the <Tsen theorem> gives function fields of curves over algebraically closed fields. A $C_1$ field has trivial <Brauer group>.