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arXiv · 1309.4618

Inequality of Noether Type for Gorenstein Minimal 3-folds of General Type

Yong Hu
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Abstract

Let $X$ be a Gorenstein minimal $3$-fold of general type. We prove the optimal inequality: $$K_X^{3}\geq \frac{4}{3}\chi(\omega_X)-2,$$ where $\chi(\omega_X)$ is the Euler-Poincar$\acute{\text{e}}$ characteristic of the dualizing sheaf $\o_{X}$.

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Yong Hu. 2013-09-18. Inequality of Noether Type for Gorenstein Minimal 3-folds of General Type. https://arxiv.org/abs/1309.4618

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