The Noether inequality for Gorenstein minimal 3-folds

Abstract

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

References in corpus (1)

• Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds