Geodesic
A family of categories of log terminal pairs and automorphisms of surfaces
Izvestiya. Mathematics , Tome 74 (2010) no. 3, pp. 541-593

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Building upon two-dimensional log terminal Mori theory, we develop categorical techniques that enable us to describe groups of biregular automorphisms of a complex quasi-projective surface with log terminal singularities using the biregular automorphism groups of its compactifications.
Keywords: categories, biregular automorphisms, links, log terminal singularities
Mots-clés : birational maps, Ore condition. 
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Yu. M. Polyakova. A family of categories of log terminal pairs and automorphisms of surfaces. Izvestiya. Mathematics , Tome 74 (2010) no. 3, pp. 541-593. http://geodesic.mathdoc.fr/item/IM2_2010_74_3_a5/