论文标题
由投影性超曲面家族描述的品种的不合理性
Unirationality of varieties described by families of projective hypersurfaces
论文作者
论文摘要
令$ \ mathscr {x} \ w $是一个统一的家庭，由$ d \ geq 2 $ in $ \ pp^n $具有dimular $ t $的单位，带有$ w $ w $ dimention $ r $的单位。我们证明，如果$ n $相对于$ d $，$ r $和$ t $足够大，则$ \ m m缩{x} $是不合理的。这扩展在\ cite {pre，hmp}中。
Let $\mathscr{X}\to W$ be a flat family of generically irreducible hypersurfaces of degree $d\geq 2$ in $\PP^n$ with singular locus of dimension $t$, with $W$ unirational of dimension $r$. We prove that if $n$ is large enough with respect to $d$, $r$ and $t$, then $\mathscr{X}$ is unirational. This extends results in \cite {Pre, HMP}.
