On Isolated Log Canonical Singularities with Index One

J. Math. Sci. Univ. Tokyo
Vol. 18 (2011), No. 3, Page 299--323.

Fujino, Osamu
On Isolated Log Canonical Singularities with Index One
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]


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 show that our invariant coincides with Ishii's Hodge theoretic invariant.

Keywords: log canonical singularities, Cohen--Macaulay, minimal model program, mixed Hodge

Mathematics Subject Classification (2010): Primary 14B05; Secondary 14E30.
Received: 2011-05-09