Nguyen Khac Viet, M. Saito, “On Mordell–Weil lattices for non-hyperelliptic fibrations on surfaces with zero geometric genus and irregularity”, Izv. RAN. Ser. Mat., 2002, Volume 66, Issue 4,Pages <nobr>137

This article is cited in 6 papers

On Mordell–Weil lattices for non-hyperelliptic fibrations on surfaces with zero geometric genus and irregularity

Nguyen Khac Viet^a, M.-H. Saito^b

^a Institute of Mathematics, National Centre for Natural Science and Technology
^b Kobe University

Abstract: We study Mordell–Weil lattices for non-hyperelliptic fibrations on surfaces with zero geometric genus and irregularity. We prove theorems on the structure and uniqueness of such lattices in the maximal case.

UDC: 517.9

MSC: 14M20, 14H10, 14J26

Received: 12.01.2001

DOI: 10.4213/im397