Mordell-Weil Lattice via String Junctions

@inproceedings{Fukae2000MordellWeilLV,
  title={Mordell-Weil Lattice via String Junctions},
  author={Mitsuaki Fukae and Yasuhiko Yamada and S. B. Yang},
  year={2000}
}
We analyze the structure of singularities, Mordell-Weil lattices and torsions of a rational elliptic surface using string junctions in the background of 12 7-branes. The classification of the Mordell-Weil lattices due to Oguiso-Shioda is reproduced in terms of the junction lattice. In this analysis an important role played by the global structure of the surface is observed. It is then found that the torsions in the Mordell-Weil group are generated by the fraction of loop junctions which… CONTINUE READING

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