Fibred rational surfaces with extremal Mordell-Weil lattices

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Abstract

Slope inequalities are given for fibred rational surfaces according as the Clifford index of a general fibre. For fibred rational surfaces of Clifford index two, the Mordell-Weil lattices of maximal ranks are completely determined.

Mathematics Subject Classification (2000) 14J26 - 14D06

Supported by The 21st Century COE Program named “Towards a new basic science: depth and synthesis”.

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Fibred rational surfaces with extremal Mordell-Weil lattices

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Abstract

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