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Academic paper

The universal cover of the second-type locus of a cubic

Authors: Frank GounelasPublished: 2026-08-09Paper ID: 2608.08909Category: math.AGLicense: CC BY 4.0

Abstract

We prove that the surface of second-type lines on a general cubic fourfold has fundamental group of order two. Its universal cover, constructed by Huybrechts, is obtained by considering the two ramification points of the Gauss map along each second-type line.

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