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Q-complements on log surfaces

I. Yu. Fedorov·S. A. Kudryavtsev
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Abstract

In this paper the log surfaces without $\QQ$-complement are classified. In particular, they are non-rational always. This result takes off the restriction in the theory of complements and allows one to apply it in the most wide class of log surfaces.

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I. Yu. Fedorov, S. A. Kudryavtsev. 2003-11-19. Q-complements on log surfaces. https://arxiv.org/abs/math/0311325

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