English

On isolated log canonical singularities with index one

Algebraic Geometry 2011-11-14 v6

Abstract

We give a method to investigate isolated log canonical singularities with index one which are not log terminal. Our method depends on the minimal model program. One of the main purposes is to prove that our invariant coincides with Ishii's Hodge theoretic invariant.

Keywords

Cite

@article{arxiv.1107.0513,
  title  = {On isolated log canonical singularities with index one},
  author = {Osamu Fujino},
  journal= {arXiv preprint arXiv:1107.0513},
  year   = {2011}
}

Comments

22 pages, v2: revision following referee's comments, v3: very minor revision, v4: very minor revision, v5: final version, to appear in J. Math. Sci. Univ. Tokyo, v5: typos in Remark 5.3 were corrected

R2 v1 2026-06-21T18:31:24.653Z