3 papers
math.AG2001
Freeness of adjoint linear systems on threefolds with non Gorenstein Q-factorial terminal singularities or some quotient singularities
Nobuyuki Kakimi
We define and calculate the weighted multiplicities of non Gorenstein terminal singularities on threefolds and some quotient singularities. We improve freeness conditions on threef…
math.AG2000
On the multiplicity of terminal singularities on threefolds
Nobuyuki Kakimi
We give the multiplicity of terminal singularities on threefolds by simple calculation. Then we obtain the best inequalities for the multiplicity and the index. By using this, we c…
math.AG1998
Freeness of adjoint linear systems on threefolds with terminal Gorenstein singularities or some quotient singularities
Nobuyuki Kakimi
We generalize the result of Kawamata concerning the strong version of Fujita's freeness conjecture for smooth 3-folds to some singular cases, namely, Gorenstein terminal singularit…