## Hiroshima Mathematical Journal

### Normal Gorenstein del Pezzo surfaces with quasi-lines

Mitsuhiro Yamasaki

#### Abstract

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 information

Source
Hiroshima Math. J., Volume 37, Number 2 (2007), 253-275.

Dates
First available in Project Euclid: 24 August 2007

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1187916320

Digital Object Identifier
doi:10.32917/hmj/1187916320

Mathematical Reviews number (MathSciNet)
MR2345369

Zentralblatt MATH identifier
1137.14032

Keywords
Compactification rational surface

#### Citation

Yamasaki, Mitsuhiro. Normal Gorenstein del Pezzo surfaces with quasi-lines. Hiroshima Math. J. 37 (2007), no. 2, 253--275. doi:10.32917/hmj/1187916320. https://projecteuclid.org/euclid.hmj/1187916320