arXiv Analytics

Sign in

arXiv:math/0512527 [math.AG]AbstractReferencesReviewsResources

Equations of log del Pezzo surfaces of index 2

Grzegorz Kapustka, Michal Kapustka

Published 2005-12-22, updated 2006-02-10Version 2

Del Pezzo surfaces over C with log terminal singularities of index \le 2 were classified by Alekseev and Nikulin. In this paper, for each of these surfaces, we find an appropriate morphism to projective space. These morphisms enable us to describe del Pezzo surfaces of index \le 2 by equations in some weighted projective space. Obtained results are natural completions of similar results of Du Val, and Hidaka and Watanabe, describing del Pezzo surfaces of index 1.

Comments: minor changes, 29 pages
Categories: math.AG
Subjects: 14J26, 14J28, 14J10
Related articles: Most relevant | Search more
arXiv:1012.0240 [math.AG] (Published 2010-12-01, updated 2012-03-25)
K3 surfaces and log del Pezzo surfaces of index three
arXiv:math/0406536 [math.AG] (Published 2004-06-25, updated 2006-06-10)
Classification of log del Pezzo surfaces of index $\le 2$
arXiv:0912.4583 [math.AG] (Published 2009-12-23)
Log del Pezzo surfaces with simple automorphism groups

Links

Toolbox