Normal del Pezzo surfaces of rank one with log canonical singularities

作者：Kojima Hideo^*; Takahashi Takeshi

来源：Journal of Algebra, 2012, 360: 53-70.

DOI：10.1016/j.jalgebra.2012.02.026

• Normal del Pezzo surfaces
• Log canonical singularities

We study normal del Pezzo surfaces of rank one with only log canonical singularities. Under some additional assumptions, we classify such surfaces. Moreover, we prove that every normal del Pezzo surface of rank one with only rational log canonical singularities has at most five singular points.

• 出版日期2012-6-15