OKUMA, T.:The polynomial periodicity of the plurigenera of surface singularities

Saitama Mathematical Journal 1999(Vol. 17) pp.7-13


We show that the plurigenera \deltam of a surface singularity have the polynomial periodicity. For a Q-Gorenstein surface singularity, we give a necessary condition for \deltam being a polynomial; if the index of the singularity is not more than two, then the condition is also sufficient.
1991 Mathematics Subject Classification: Primary 14J17, Secondary 32S25