On Gorenstein log del Pezzo Surfaces

By Qiang Ye. 2001

76 citations recorded by the source corpus.

In this paper, we first present the complete list of the singularity types of the Picard number one Gorenstein log del Pezzo surface and the number of the isomorphism classes with the given singularity type. Then we give out a method to find out all singularity types of Gorenstein log del Pezzo surface. As an application, we present the complete list of the Dynkin type of the Picard number two Gorenstein log del Pezzo surfaces. Finally we present the complete list of the singularity type of the relatively minimal Gorenstein log del Pezzo surface and the number of the isomorphism classes with the given singularity type.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c8ce2a6de7506a577e1867136e7b1a26e85d8e71

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Ulrich Derenthal
2. Daniel Loughran
3. Noboru Nakayama
4. Jürgen Hausen
5. Hendrik Suss

In Geometry and Topology

1. Ulrich Derenthal
2. Daniel Loughran
3. Noboru Nakayama
4. De-Qi Zhang
5. Jürgen Hausen
6. Hendrik Suss
7. N. Fakhruddin
8. Yoshio Fujimoto

Citations in the corpus

• Singular del Pezzo surfaces that are equivariant compactifications (2009, background): “[Ye02] Q. Ye.”
• Singular del Pezzo surfaces whose universal torsors are hypersurfaces (2006, methodology): “[Ye02] Q. Ye.”
• Classification of Log del Pezzo Surfaces of Index Two (2007, background): “, projective surfaces with only rational double points and with ample anti-canonical divisor, have been intensively studied in many papers ([8], [10], [13], [14], [31], [32], [33]).”