The Noether inequality for Gorenstein minimal 3-folds

preprint2013arXivOpen access

We prove the Conjecture of Catenese--Chen--Zhang: the inequality $K_X^3\geq \frac{4}{3}p_g(X)-\frac{10}{3}$ holds for all projective Gorenstein minimal 3-folds $X$ of general type.

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The Noether inequality for Gorenstein minimal 3-folds

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