caa a22 4500 445835648 CHVBK 20180317145329.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00209-010-0708-3 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0708-3 Enriques surfaces and Jacobian elliptic K3 surfaces [Elektronische Daten] [Klaus Hulek, Matthias Schütt] This paper proposes a new geometric construction of Enriques surfaces. Its starting point are K3 surfaces with Jacobian elliptic fibration which arise from rational elliptic surfaces by a quadratic base change. The Enriques surfaces obtained in this way are characterised by elliptic fibrations with a rational curve as bisection which splits into two sections on the covering K3 surface. The construction has applications to the study of Enriques surfaces with specific automorphisms. It also allows us to answer a question of Beauville about Enriques surfaces whose Brauer groups show an exceptional behaviour. In a forthcoming paper, we will study arithmetic consequences of our construction. Springer-Verlag, 2010 Enriques surface nationallicence K3 surface nationallicence Elliptic fibration nationallicence Mordell-Weil group nationallicence Automorphism nationallicence Brauer group nationallicence Hulek Klaus Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30167, Hannover, Germany aut Schütt Matthias Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30167, Hannover, Germany aut Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 1025-1056 0025-5874 268:3-4<1025 2011 268 209 https://doi.org/10.1007/s00209-010-0708-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0708-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hulek Klaus Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30167, Hannover, Germany aut NATIONALLICENCE 700 1- Schütt Matthias Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30167, Hannover, Germany aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 1025-1056 0025-5874 268:3-4<1025 2011 268 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer