Normal Gorenstein stable log surfaces with (K_X + Λ)² = p_g(X, Λ)−1

ABSTRACT

In this paper, we will classify normal Gorenstein stable log surfaces with ${(K_X+\Lambda )}^2=p_g(X,\Lambda )-1$.

KEYWORDS:

• Δ-genus
• Gorenstein stable log surfaces
• stable surfaces
• stable log Noether inequality

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 14J10
• 14J29

Acknowledgments

I am grateful to my tutor Jinxing Cai and Wenfei Liu for their instructions. I would also thank the anonymous referee for helpful advices and suggestions.