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# Communications in Analysis and Geometry

## Volume 23 (2015)

### Number 1

### The Noether inequality for Gorenstein minimal 3-folds

Pages: 1 – 9

DOI: http://dx.doi.org/10.4310/CAG.2015.v23.n1.a1

#### Authors

#### Abstract

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.