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

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©, 2002 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation V Nguyen Khac and M.-H. Saito 2002 Izv. Math. 66 789 DOI 10.1070/IM2002v066n04ABEH000397

1064-5632/66/4/789

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.

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10.1070/IM2002v066n04ABEH000397