Weak del Pezzo surfaces with irregularity

SchrÖer, Stefan

Tohoku Math. J. (2), Tome 59 (2007) no. 1, p. 293-322 / Harvested from Project Euclid

Résumé

We construct normal del Pezzo surfaces, and regular weak del Pezzo surfaces as well, with positive irregularity $q>0$. This can happen only over nonperfect fields. The surfaces in question are twisted forms of nonnormal del Pezzo surfaces, which were classified by Reid. The twisting is with respect to the flat topology and infinitesimal group scheme actions. The twisted surfaces appear as generic fibers for Fano-Mori contractions on certain threefolds with only canonical singularities.

Publié le : 2007-05-14
Classification: Del Pezzo surfaces, group scheme actions, vanishing theorems, 14J45, 14L30

@article{1182180737,
     author = {Schr\"Oer, Stefan},
     title = {Weak del Pezzo surfaces with irregularity},
     journal = {Tohoku Math. J. (2)},
     volume = {59},
     number = {1},
     year = {2007},
     pages = { 293-322},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1182180737}
}

SchrÖer, Stefan. Weak del Pezzo surfaces with irregularity. Tohoku Math. J. (2), Tome 59 (2007) no. 1, pp.  293-322. http://gdmltest.u-ga.fr/item/1182180737/