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Examples of genus two fibrations with no sections on rational surfaces

Kitagawa Shinya(岐阜工业高等专门学校)
Monday, September 4th, 2017, 10:00 AM  闵行数学楼401报告厅
 
摘要:We construct explicit examples of genus two fibrations with no sections
on rational surfaces by the double covering method.
For the proof of non-existence of sections, we use the theory of the
virtual Mordell-Weil groups.
   
 
 
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