English

The indices of log canonical singularities

Algebraic Geometry 2007-05-23 v1

Abstract

Let (PX,Δ)(P\in X,\Delta) be a three dimensional log canonical pair such that Δ\Delta has only standard coefficients and PP is a center of log canonical singularities for (X,Δ)(X,\Delta). Then we get an effective bound of the indices of these pairs and actually determine all the possible indices. Furthermore, under certain assumptions including the log Minimal Model Program, an effective bound is also obtained in dimension n4n\geq 4.

Keywords

Cite

@article{arxiv.math/9909035,
  title  = {The indices of log canonical singularities},
  author = {Osamu Fujino},
  journal= {arXiv preprint arXiv:math/9909035},
  year   = {2007}
}

Comments

25 pages

R2 v1 2026-07-22T18:04:24.886Z