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.
Logarithmic Enriques varieties / S. Boissière, C.C.. - In: BEITRAGE ZUR ALGEBRA UND GEOMETRIE. - ISSN 0138-4821. - (2026), pp. 1-24. [Epub ahead of print] [10.1007/s13366-026-00860-y]
Logarithmic Enriques varieties
C. CamerePenultimo
;
2026
Abstract
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.
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