Gorenstein stable log surfaces with $(K_X+Λ)^2=p_g(X,Λ)-1$

preprint2020arXivOpen access

In this paper, we will give a complete classification of Gorenstein stable log surfaces $(X,Λ)$ with $(K_X+Λ)^2=p_g(X,Λ)-1$ , where $p_g(X,Λ):=h^0(X,K_X+Λ)$ . In particular, we classify Gorenstein stable surfaces with $K_X^2=p_g-1$ .

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Gorenstein stable log surfaces with $(K_X+Λ)^2=p_g(X,Λ)-1$

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Gorenstein stable log surfaces with (KX+Λ)2=pg(X,Λ)−1(K_X+Λ)^2=p_g(X,Λ)-1(KX​+Λ)2=pg​(X,Λ)−1

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Gorenstein stable log surfaces with $(K_X+Λ)^2=p_g(X,Λ)-1$