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arXiv · 1911.07252

Addendum to "The Noether inequality for algebraic threefolds"

Jungkai Chen·Meng Chen·Chen Jiang
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Abstract

In this short note, we give a refinement of our previous work (arXiv:1803.05553) stating that for a projective $3$-fold $X$ of general type with either $p_g(X)\leq 4$ or $p_g(X)\geq 11$, $$\text{vol}(X)\geq \frac{4}{3}p_g(X)-{\frac{10}{3}}.$$

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Jungkai Chen, Meng Chen, Chen Jiang. 2019-11-17. Addendum to "The Noether inequality for algebraic threefolds". https://doi.org/10.1215/00127094-2020-0042

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