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Theory of non-lc ideal sheaves -basic properties-

arXiv:0801.2198 · doi:10.1215/0023608X-2009-011

Abstract

We introduce the notion of non-lc ideal sheaves. It is an analogue of the notion of multiplier ideal sheaves. We establish the restriction theorem, which seems to be the most important property of non-lc ideal sheaves.

21 pages; v2: mistakes were corrected, v3: the proof of the main theorem was revised, v4: minor modifications, v5: minor revision following referee's comments