Birationally rigid hypersurfaces |
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Authors: | Tommaso de Fernex |
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Institution: | 1. Department of Mathematics, University of Utah, 155 South 1400 East, Salt Lake City, UT, 48112-0090, USA
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Abstract: | We prove that for N≥4, all smooth hypersurfaces of degree N in ? N are birationally superrigid. First discovered in the case N=4 by Iskovskikh and Manin in a work that started this whole direction of research, this property was later conjectured to hold in general by Pukhlikov. The proof relies on the method of maximal singularities in combination with a formula on restrictions of multiplier ideals. |
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