We prove the main theorem on the structure of everywhere integral sections on a rational elliptic surface, which is formulated in the first part of the paper with the same title [18]. A few examples are given to illustrate it, and some open questions in the case of higher arithmetic genus will be discussed.
Publié le : 2010-02-15
Classification:
Gröbner basis,
integral section,
Mordell-Weil lattice,
deformation of singularities,
14J26,
14J27,
11G05
@article{1265033218,
author = {Shioda, Tetsuji},
title = {Gr\"obner basis, Mordell-Weil lattices and deformation of singularities, II},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {86},
number = {1},
year = {2010},
pages = { 27-32},
language = {en},
url = {http://dml.mathdoc.fr/item/1265033218}
}
Shioda, Tetsuji. Gröbner basis, Mordell-Weil lattices and deformation of singularities, II. Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, pp. 27-32. http://gdmltest.u-ga.fr/item/1265033218/