On extremal elliptic surfaces in characteristic 2 and 3
Ito, Hiroyuki
Hiroshima Math. J., Tome 32 (2002) no. 3, p. 179-188 / Harvested from Project Euclid
We show that all extremal elliptic surfaces in characteristic 2 and 3 are obtained from rational extremal elliptic surfaces as purely inseparable base extensions. As a corollary, we can show that the automorphism group of every supersingular elliptic $K3$ surface has an element of infinite order which acts trivially on the global sections of the sheaf of differential forms of degree 2. We also determine the structures of Mordell- Weil groups for extremal rational elliptic surfaces in these characteristics.
Publié le : 2002-07-14
Classification:  14J27,  11G05,  14J28
@article{1151007555,
     author = {Ito, Hiroyuki},
     title = {On extremal elliptic surfaces in characteristic 2 and 3},
     journal = {Hiroshima Math. J.},
     volume = {32},
     number = {3},
     year = {2002},
     pages = { 179-188},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1151007555}
}
Ito, Hiroyuki. On extremal elliptic surfaces in characteristic 2 and 3. Hiroshima Math. J., Tome 32 (2002) no. 3, pp.  179-188. http://gdmltest.u-ga.fr/item/1151007555/