Log-canonical pairs and Gorenstein stable surfaces with $K_X^2=1$

Abstract

We classify log-canonical pairs $(X,\Delta )$ of dimension two with $K_X+\Delta$ an ample Cartier divisor with $(K_X+\Delta {)}^2=1$, giving some applications to stable surfaces with $K^2=1$. A rough classification is also given in the case $\Delta =0$.

References in corpus (1)

• Pluricanonical maps of stable log surfaces

Cited by in corpus (1)

• Hodge Representations