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Fibred rational surfaces with extremal Mordell-Weil lattices
Authors:Shinya?Kitagawa  author-information"  >  author-information__contact u-icon-before"  >  mailto:shinya@gaia.math.wani.osaka-u.ac.jp"   title="  shinya@gaia.math.wani.osaka-u.ac.jp"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Kazuhiro?Konno
Affiliation:(1) Department of Mathematics, Graduate School of Science, Osaka University, Machikaneyama 1–16, Toyonaka, Osaka 560-0043, Japan
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.Supported by The 21st Century COE Program named “Towards a new basic science: depth and synthesis”.
Keywords:14J26  14D06
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