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Double cubics and double quartics

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Abstract

We study a double cover branched over a smooth divisor such that R is cut on V by a hypersurface of degree 2(n−deg(V)), where n ≥ 8 and V is a smooth hypersurface of degree 3 or 4. We prove that X is nonrational and birationally superrigid.

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Authors and Affiliations

  1. Steklov Institute of Mathematics, 8 Gubkin street, Moscow, 117966, Russia

    Ivan Cheltsov

  2. School of Mathematics, University of Edinburgh, Kings Buildings, Mayfield Road, Edinburgh, EH9 3JZ, UK

    Ivan Cheltsov

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  1. Ivan Cheltsov
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Correspondence to Ivan Cheltsov.

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Cheltsov, I. Double cubics and double quartics. Math. Z. 253, 75–86 (2006). https://doi.org/10.1007/s00209-005-0879-5

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  • DOI: https://doi.org/10.1007/s00209-005-0879-5

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