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On the unirationality of higher dimensional Ueno-type manifolds

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 نشر من قبل Fabrizio M. E. Catanese
 تاريخ النشر 2015
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 تأليف Fabrizio Catanese




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We prove the unirationality of the Ueno-type manifold $X_{4,6}$. $X_{4,6}$ is the minimal resolution of the quotient of the Cartesian product $E(6)^4$, where $E(6)$ is the equianharmonic elliptic curve, by the diagonal action of a cyclic group of order 6 (having a fixed point on each copy of $E(6)$). We collect also other results, and discuss several related open questions.



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