Unirationality of varieties described by families of projective hypersurfaces

Ciro Ciliberto; Duccio Sacchi

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arXiv · 2205.13260

Unirationality of varieties described by families of projective hypersurfaces

Ciro Ciliberto·Duccio Sacchi

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Abstract

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}.

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BibTeX RIS

Ciro Ciliberto, Duccio Sacchi. 2022-05-26. Unirationality of varieties described by families of projective hypersurfaces. https://arxiv.org/abs/2205.13260

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