Abstract
AbstractWe show that defines a birational map and has no fixed part for some bounded positive integer m for any ‐lc surface X such that is big and nef. For every positive integer , we construct a sequence of projective surfaces , such that is ample, for every i, , and for any positive integer m, there exists i such that has nonzero fixed part. These results answer the surface case of a question of Xu.
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