In this paper, we give a classification of normal del Pezzo surfaces $X$ with at most three quasi-lines and determine the geometric structure of the complement of quasi-lines on $X$.
Moreover, we give the complete list of compactifications $X$ of ${\Bbb C}^2$ with quasi-lines as boundaries.
@article{1187916320,
author = {Yamasaki, Mitsuhiro},
title = {Normal Gorenstein del Pezzo surfaces with quasi-lines},
journal = {Hiroshima Math. J.},
volume = {37},
number = {1},
year = {2007},
pages = { 253-275},
language = {en},
url = {http://dml.mathdoc.fr/item/1187916320}
}
Yamasaki, Mitsuhiro. Normal Gorenstein del Pezzo surfaces with quasi-lines. Hiroshima Math. J., Tome 37 (2007) no. 1, pp. 253-275. http://gdmltest.u-ga.fr/item/1187916320/