Non-constant curves of genus 2 with infinite pro-Galois covers

For every odd prime number p, we give examples of non-constant smooth families of curves of genus 2 over fields of characteristic p which have pro-Galois (pro-étale) covers of infinite degree with geometrically connected fibers. The Jacobians of the curves are isomorphic to products of elliptic curves.     

Berichtigung

Ohne Zusammenfassung     

Über die Reaktion von W3O mit lod. Darstellung,Kristallstruktur und Eigenschaften von WOI3

On the Reaction of W₃O with Iodine: Preparation, Crystal Structure, and Properties of WOI₃ The novel tungsten oxide iodide WOI₃ is obtained from the reaction of the metalrich tungsten oxide W₃O (also known as ‘β-tungsten’) with iodine in a sealed glass tube placed in a temperature gradient (440–400°C). In the low-temperature region WOI₃ is formed as mouse-grey intergrown needle-like crystals. WOI₃ crystallizes in the tetragonal NbOCl₃ structure type, space group P4₂/mnm, with a = 12.346(2), c = 3.765(1) Å (20°C). The crystal structure at – 130°C was determined from single-crystal diffractometer data (R = 0.023). Results of magnetic susceptibility and vibrational spectroscopic measurements are given together with the mass spectrum of WOI₃ obtained on heating.