Chen, Yifan; Hu, Yong On canonically polarized Gorenstein 3-folds satisfying the Noether equality. (English) Zbl 1390.14121 Math. Res. Lett. 24, No. 2, 271-297 (2017). Summary: We study canonically polarized Gorenstein minimal 3-folds satisfying \(K^3_X = \frac{4}{3} p_g (X) - \frac{10}{3}\) and \(p_g (X) \geq 7\). We characterize their canonical maps, describe a structure theorem for such \(3\)-folds and completely classify the smooth ones. New examples of canonically polarized smooth \(3\)-folds with \(K^3_X = \frac{4}{3} p_g (X) - \frac{10}{3}\) and \(p_g (X) \geq 7\) are constructed. These examples are natural extensions of those constructed by M. Kobayashi [J. Math. Soc. Japan 44, No. 1, 145–156 (1992; Zbl 0766.14033)]. Cited in 4 Documents MSC: 14J30 \(3\)-folds Citations:Zbl 0766.14033 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Y. Hu}, Math. Res. Lett. 24, No. 2, 271--297 (2017; Zbl 1390.14121) Full Text: DOI arXiv