Inequalities of Noether type for 3-folds of general type
Meng Chen
Abstract
If X is a smooth complex projective 3-fold with ample canonical divisor K, then the inequality K3 2/3(2pg-7) holds, where pg denotes the geometric genus. This inequality is nearly sharp. We also give similar, but more complicated, inequalities for general minimal 3-folds of general type. (A noether type of inequality lies, by all means, on the other side of the Miyaoka-Yau inequality from the geographical point of view.)
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