Complements on surfaces

Abstract

The main result of the paper is a boundedness for $n$-complements on algebraic surfaces. In addition, applications of this theorem to a classification of log Del Pezzo surfaces and of birational contractions for 3-folds are formulated.

105 pages. Minor typos corrected

References in corpus (1)

• Rational Curves on Quasi-Projective Surfaces

Cited by in corpus (5)

• The indices of log canonical singularities
• The Euler Characteristic Formula for Logarithmic Minimal Degenerations of Surfaces with Kodaira Dimension Zero and its application to Calabi-Yau Threefolds with a pencil
• $D$-local algebraic fundamental groups of germs of normal complex analytic singularities
• Klein's group defines an exceptional singularity of dimension 3
• Mori conic bundles with a reduced log terminal boundary