Nguyen Khac Viet; Saito, M.-H. On Mordell-Weil lattices for non-hyperelliptic fibrations on surfaces with zero geometric genus and irregularity. (English. Russian original) Zbl 1053.14043 Izv. Math. 66, No. 4, 789-805 (2002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 4, 137-154 (2002). This paper provides the details to the results announced in [Dokl. Math. 59, No. 1, 96–98 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 5, 596–598 (1999; Zbl 0976.14032)]. Cited in 4 Documents MSC: 14J26 Rational and ruled surfaces 14H10 Families, moduli of curves (algebraic) 14M20 Rational and unirational varieties Keywords:virtual Mordell-Weil rank; rationality of a curve; minimal bundle of non-hyperelliptic curves Citations:Zbl 0976.14032 PDFBibTeX XMLCite \textit{Nguyen Khac Viet} and \textit{M. H. Saito}, Izv. Math. 66, No. 4, 789--805 (2002; Zbl 1053.14043); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 4, 137--154 (2002) Full Text: DOI