Abstract
AbstractFollowing on from the paper (Pukhlikov in Proc Edinb Math Soc 62(1):221–239, 2019), we prove birational superrigidity for a general Fano cyclic cover of a hypersurface containing a single isolated singular point on the base hypersurface lying off the ramification divisor, where the multiplicity of the point can be close to the degree. In particular, such a variety is not rational.
Publisher
Springer Science and Business Media LLC
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