Conte, Alberto; Marchisio, Marina; Murre, Jacob P. On unirationality of double covers of fixed degree and large dimension; a method of Ciliberto. (English) Zbl 1055.14506 Beltrametti, Mauro C. (ed.) et al., Algebraic geometry. A volume in memory of Paolo Francia. Berlin: de Gruyter (ISBN 3-11-017180-5/hbk). 127-140 (2002). Summary: Following an idea of C. Ciliberto [Ricerche Mat. 29, 175–191 (1980; Zbl 0478.14001)] we show that double covers of projective \(r\)-space branched over an hypersurface of degree \(2d\) are unirational provided \(r\) is sufficiently big with respect to \(d\).For the entire collection see [Zbl 0996.00060]. Cited in 1 ReviewCited in 2 Documents MSC: 14E08 Rationality questions in algebraic geometry 14E20 Coverings in algebraic geometry 14M20 Rational and unirational varieties Citations:Zbl 0478.14001 PDFBibTeX XMLCite \textit{A. Conte} et al., in: Algebraic geometry. A volume in memory of Paolo Francia. Berlin: de Gruyter. 127--140 (2002; Zbl 1055.14506) Full Text: arXiv