Supplements to non-lc ideal sheaves
Algebraic Geometry
2015-03-17 v2 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.1004.5170,
title = {Supplements to non-lc ideal sheaves},
author = {Osamu Fujino and Karl Schwede and Shunsuke Takagi},
journal= {arXiv preprint arXiv:1004.5170},
year = {2015}
}
Comments
46 pages, v2: the definition of the ideal $\sigma((R, \Delta), \ba^t)$ (Definition 14.4) slightly changed, typos corrected, to appear in RIMS Kokyuroku Bessatsu