On Mordell-Weil lattices of bielliptic fibrations on rational surfaces

KITAGAWA, Shinya

J. Math. Soc. Japan, Tome 57 (2005) no. 4, p. 137-155 / Harvested from Project Euclid

Résumé

We study Mordell-Weil lattices for bielliptic fibrations on rational surfaces. We prove theorems on the structure and give an explicit construction of the fibration with maximal Mordell-Weil rank and moreover determine the structures of such lattices.

Publié le : 2005-01-14
Classification: Mordell-Weil lattice, bielliptic fibration, rational surface, 14J26

@article{1160745818,
     author = {KITAGAWA, Shinya},
     title = {On Mordell-Weil lattices of bielliptic fibrations on rational surfaces},
     journal = {J. Math. Soc. Japan},
     volume = {57},
     number = {4},
     year = {2005},
     pages = { 137-155},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1160745818}
}

KITAGAWA, Shinya. On Mordell-Weil lattices of bielliptic fibrations on rational surfaces. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp.  137-155. http://gdmltest.u-ga.fr/item/1160745818/