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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].

MSC:

14E08 Rationality questions in algebraic geometry
14E20 Coverings in algebraic geometry
14M20 Rational and unirational varieties

Citations:

Zbl 0478.14001
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