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arxiv: math/0204213 · v1 · submitted 2002-04-17 · 🧮 math.AG

On unirationality of double covers of fixed degree and large dimension; a method of Ciliberto

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keywords cilibertocoversdegreedoublebrancheddimensionfixedfollowing
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Following an idea of Ciliberto 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.

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