Canonical coverings of Enriques surfaces in characteristic $2$
Abstract
Let $\bar{Y}$ be a normal surface that is the canonical $\mu_2$ or $\alpha_2$covering of a classical or supersingular Enriques surface in characteristic $2$. We determine all possible configurations of singularities on $\bar{Y}$, and for each configuration we describe which type of Enriques surfaces (classical or supersingular) appear as quotients of $\bar{Y}$.
 Publication:

arXiv eprints
 Pub Date:
 December 2018
 arXiv:
 arXiv:1812.06914
 Bibcode:
 2018arXiv181206914M
 Keywords:

 Mathematics  Algebraic Geometry;
 14J28 (Primary) 14L20;
 14L30;
 14J17 (Secondary)
 EPrint:
 comments welcome / v2 (22 pages) contains several new results: the case of elliptic double point singularity is taken into consideration, and the description of 1dimensional family of Enriques quotients is added