<p>We introduce logarithmic Enriques varieties as a singular analogue of Enriques manifolds, generalizing the notion of log-Enriques surfaces introduced by Zhang. We focus mainly on the properties of the subfamily of logarithmic Enriques varieties that admit a quasi-étale cover by a singular symplectic variety and we give many examples.</p>

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Logarithmic Enriques varieties

  • Samuel Boissière,
  • Chiara Camere,
  • Alessandra Sarti

摘要

We introduce logarithmic Enriques varieties as a singular analogue of Enriques manifolds, generalizing the notion of log-Enriques surfaces introduced by Zhang. We focus mainly on the properties of the subfamily of logarithmic Enriques varieties that admit a quasi-étale cover by a singular symplectic variety and we give many examples.