@article{RSMUP_2007__117__205_0, author = {Kitagawa, Shinya}, title = {Maximal Mordell-Weil lattices of fibred surfaces with $p\_g=q=0$}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {117}, year = {2007}, pages = {205-230}, mrnumber = {2351796}, zbl = {1139.14031}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_2007__117__205_0} }
Kitagawa, Shinya. Maximal Mordell-Weil lattices of fibred surfaces with $p_g=q=0$. Rendiconti del Seminario Matematico della Università di Padova, Tome 117 (2007) pp. 205-230. http://gdmltest.u-ga.fr/item/RSMUP_2007__117__205_0/
[1] Geometry of Algebraic Curves, Volume I, GMW 267, Springer-Verlag, 1985. | MR 770932 | Zbl 0559.14017
- - ,[2] Secant spaces and Clifford's theorem, Compositio Math., 78 (1991), pp. 193-212. | Numdam | MR 1104787 | Zbl 0741.14035
- ,[3] Séminaire sur les Singularités des Surfaces, Lec. Notes in Math., 777 (Springer, Berlin, 1980), pp. viii+339. | MR 579026 | Zbl 0415.00010
- - ,[4] Groupes de monodromie en géométrie algébrique II. Séminaire de Géométrie Algébrique de Bois-Marie, 1967-1969 (SGA 7 II), Lec. Notes in Math., 340 (Springer-Verlag, Berlin New York, 1973) pp. x+438. | MR 354657 | Zbl 0258.00005
- (eds),[5] Curves with high self-intersection on algebraic surfaces. Publ. Math. IHES 36 (1969), pp. 111-125. | Numdam | MR 266924 | Zbl 0197.17505
,[6] On irreducible plane curves, Saitama Math. J., 1 (1983), pp. 47-63. | MR 717927 | Zbl 0517.14009
,[7] On Mordell-Weil lattices of bielliptic fibrations on rational surfaces, J. Math. Soc. Japan, 57 (2005), pp. 137-155. | MR 2114725 | Zbl 1093.14051
,[8] Fibred rational surfaces with extremal MordellWeil lattices, Math. Z., 251 (2005), pp. 179-204. | MR 2176471 | Zbl 1082.14038
- ,[9] The gonality of curves on a Hirzebruch surface, Arch. Math., 67 (1996), pp. 349-352. | MR 1407339 | Zbl 0872.14022
,[10] Very ample line bundles on regular surfaces obtained by projection, preprint (received September 2nd, 2005). | MR 2271360 | Zbl 1108.14008
,[11] On Mordell-Weil lattices for nonhyperelliptic fibrations of surfaces with zero geometric genus and irregularity, Izv. Ross. Akad. Nauk Ser. Mat., 66 (2002), pp. 137-154. | MR 1942097 | Zbl 1053.14043
- ,[12] On Mordell-Weil lattices of higher genus fibrations on rational surfaces, J. Math. Kyoto Univ., 34 (1994), pp. 859-871. | MR 1311624 | Zbl 0860.14034
- ,[13] Mordell-Weil lattices for higher genus fibration over a curve. New trends in algebraic geometry (Warwick, 1996), pp. 359-373, London Math. Soc. Lecture Note Ser., 264, Cambridge Univ. Press, Cambridge, 1999. | MR 1714831 | Zbl 0947.14012
,