On isolated log canonical singularities with index one

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.

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

References in corpus (3)

• Introduction to the log minimal model program for log canonical pairs
• Semi log resolution
• Boundary complexes and weight filtrations

Cited by in corpus (7)

• The dual complex of singularities
• Log pluricanonical representations and abundance conjecture
• On the F-purity of isolated log canonical singularities
• Nilpotence of Frobenius action and the Hodge filtration on local cohomology
• A remark on Kovács' vanishing theorem
• On isolated log canonical centers
• Deformations of Calabi-Yau varieties with isolated log canonical singularities