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. 
@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},
     pages = {205--230},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {117},
     year = {2007},
     mrnumber = {2351796},
     zbl = {1139.14031},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_2007__117__205_0/}
}
TY  - JOUR
AU  - Kitagawa, Shinya
TI  - Maximal Mordell-Weil lattices of fibred surfaces with $p_g=q=0$
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2007
SP  - 205
EP  - 230
VL  - 117
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_2007__117__205_0/
LA  - en
ID  - RSMUP_2007__117__205_0
ER  - 
%0 Journal Article
%A Kitagawa, Shinya
%T Maximal Mordell-Weil lattices of fibred surfaces with $p_g=q=0$
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2007
%P 205-230
%V 117
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_2007__117__205_0/
%G en
%F 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://archive.numdam.org/item/RSMUP_2007__117__205_0/

[1] E. Arbarello - M. Cornalba - P. A. Griffiths J. Harris, Geometry of Algebraic Curves, Volume I, GMW 267, Springer-Verlag, 1985. | MR | Zbl

[2] M. Coppens - G. Martens, Secant spaces and Clifford's theorem, Compositio Math., 78 (1991), pp. 193-212. | EuDML | Numdam | MR | Zbl

[3] M. Demazure - H. Pinkham - B. Teissier, Séminaire sur les Singularités des Surfaces, Lec. Notes in Math., 777 (Springer, Berlin, 1980), pp. viii+339. | MR | Zbl

[4] P. Deligne - N. Katz (eds), 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 | Zbl

[5] R. Hartshorne, Curves with high self-intersection on algebraic surfaces. Publ. Math. IHES 36 (1969), pp. 111-125. | EuDML | Numdam | MR | Zbl

[6] S. Iitaka, On irreducible plane curves, Saitama Math. J., 1 (1983), pp. 47-63. | MR | Zbl

[7] S. Kitagawa, On Mordell-Weil lattices of bielliptic fibrations on rational surfaces, J. Math. Soc. Japan, 57 (2005), pp. 137-155. | MR | Zbl

[8] S. Kitagawa - K. Konno, Fibred rational surfaces with extremal MordellWeil lattices, Math. Z., 251 (2005), pp. 179-204. | MR | Zbl

[9] G. Martens, The gonality of curves on a Hirzebruch surface, Arch. Math., 67 (1996), pp. 349-352. | MR | Zbl

[10] A. Noma, Very ample line bundles on regular surfaces obtained by projection, preprint (received September 2nd, 2005). | MR | Zbl

[11] M.-H. Saito - V. Nguyen Khac, 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 | Zbl

[12] M.-H. Saito - K. Sakakibara, On Mordell-Weil lattices of higher genus fibrations on rational surfaces, J. Math. Kyoto Univ., 34 (1994), pp. 859-871. | MR | Zbl

[13] T. Shioda, 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 | Zbl