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arXiv · 1405.7106

Characterization of the 4-canonical birationality of algebraic 3-folds, II

Meng Chen·Qi Zhang
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Abstract

For nonsingular projective 3-folds $X$ (of general type) whose geometric genus $p_g=h^0(X, K_X)$ is $\geq 5$, the birationality of the fourth canonical map $φ_{4,X}=Φ_{|4K_X|}$ was characterized by D.-Q. Zhang and the first author in 2008. This paper aims at characterizing the birationality of $φ_{4,X}$ for those $X$ with $p_g=4$.

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Meng Chen, Qi Zhang. 2015-12-15. Characterization of the 4-canonical birationality of algebraic 3-folds, II. https://arxiv.org/abs/1405.7106

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