Mathematics – Algebraic Geometry
Scientific paper
2000-04-17
Mathematics
Algebraic Geometry
8 pages
Scientific paper
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 can improve the boundedness number of terminal weak
Q-Fano 3-folds in [KMMT, Theorem 1.2]. Furthermore, we can extended [K, Theorem
3.6] for Fujita freeness conditions to nonhypersurface terminal singularities.
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