Del Pezzo surfaces with Du Val singularities

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In this paper we study the problem of existence of orbifold Kaehler-Einstein metrics on del Pezzo surfaces of degree 1 with Du Val singular points. Moreover we compute global log canonical thresholds of del Pezzo surfaces of degree 1 with Du Val singularities and of del Pezzo surfaces of Picard rank 1 with Du Val singularities.
116 pages, Preliminary version of PhD thesis, Corrections Sect.3.2, Sect.4

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