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     

Orientational Ordering of Dyes in the Glassy State of Liquid-Crystalline Side Group Polymers

Liquid-crystalline side group copolymers containing dyes can be macroscopic-ally oriented and the orientation can be locked-in below the glass transition temperature. The order parameters of anthraquinone dyes and a trisazo dye in nematic and smectic glasses were determined by optical absorption measurements. The dyes have higher degrees of order in the smectic glass than in the nematic glass. A comparison of order parameters of covalently bonded dyes with order parameters of monomeric dyes dissolved in the corresponding homopolymers demonstrates the influence of covalently anchoring the dye to the polymer.     

The balance in the museum

The balance is the oldest real measuring instrument. It is still a widely used instrument in science, industry, commerce and in the household. It has found significance as a symbol in religion, justice, commerce and as an esoteric object. As a balance is always an interesting object it is exhibited in many museums and there exist a lot specialised scales-and-weight museums. We attempt to give a survey of these.