2011/06/23 by Rémy Oudompheng, Oudompheng, Rémy
Computer Science · Mathematics · #14D07 #14J28 #14J29 #32G20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Mathematics and Applications #math.AG #msc:14D07 #msc:14J28 #msc:14J29 #msc:32G20
paper · pdf · doi:10.48550/arxiv.1106.4846
48 pages, 1 figure, part of the author's PhD thesis
arxiv created 2011/06/23 · openalex publication_date 2011/06/23 · arxiv updated 2011/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define a period map for classical Campedelli surfaces, using a covering trick as in the case of Enriques surfaces: the period map is shown to come from a family of Enriques surfaces, obtained as quotients of the Campedelli surface by an involution. The period map realises an isomorphism between a projective variety obtained by invariant theory, and the Baily-Borel compactification of an arithmetic quotient, in the same fashion as in the work of Matsumoto, Sasaki and Yoshida. The result is proved from scratch using traditional methods. As another consequence we determine properties of the monodromy of Campedelli surfaces with a choice of double cover.