Fibred rational surfaces with extremal Mordell-Weil lattices

Fibred rational surfaces with extremal Mordell-Weil lattices
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DOI:
10.1007/s00209-005-0797-6
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发表时间:
2005-05
影响因子:
0.8
通讯作者:
S. Kitagawa;K. Konno
S. Kitagawa;K. Konno
中科院分区:
数学2区
文献类型:
--
作者:
S. Kitagawa;K. Konno

文献摘要

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根据一般纤维的Clifford指数,给出了离散有理曲面的斜率不等式.对于Clifford指标为2的离散有理曲面,完全确定了最大秩的Mordell-Weil格.
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.