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

2018/03/11 by Chen, Jingshan
#14J10 #14J29 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.03973

Abstract

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):=h⁰(X,K_X+Λ). In particular, we classify Gorenstein stable surfaces with K_X²=p_g-1.

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