Unirationality of varieties described by families of projective hypersurfaces
Ciro Ciliberto
Università di Roma Tor Vergata, Roma, ItalyDuccio Sacchi
Siena, Italy
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Abstract
Let be a flat family of generically irreducible hypersurfaces of degree in with singular locus of dimension , with unirational of dimension . We prove that if is large enough with respect to , and , then is unirational. This extends results by J. Harris, B. Mazur and R. Pandharipande in [Duke Math. J. 95 (1998), 125–160] and A. Predonzan in [Rend. Sem. Mat. Univ. Padova 31 (1961), 281–293].
Cite this article
Ciro Ciliberto, Duccio Sacchi, Unirationality of varieties described by families of projective hypersurfaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 3, pp. 577–595
DOI 10.4171/RLM/1019