Supplements to non-lc ideal sheaves

Details Supplements to non-lc ideal sheaves Supplements to non-lc ideal sheaves

2010-04-29

arxiv.org/abs/1004.5170v2

RIMS K\^oky\^uroku Bessatsu, B24, 2011-03, pp. 1-47

Mathematics

Algebraic Geometry

46 pages, v2: the definition of the ideal $\sigma((R, \Delta), \ba^t)$ (Definition 14.4) slightly changed, typos corrected, to

Scientific paper

We consider various definitions of non-lc ideal sheaves -- generalizations of the multiplier ideal sheaf which define the non-lc (non-log canonical) locus. We introduce the maximal non-lc ideal sheaf and intermediate non-lc ideal sheaves and consider the restriction theorem for these ideal sheaves. We also begin the development of the theory of a characteristic p>0 analog of maximal non-lc ideals, utilizing some recent work of Blickle.

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