### Electronic Research Archive

2021, Issue 5: 3309-3321. doi: 10.3934/era.2021040
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# On minimal 4-folds of general type with $p_g \geq 2$

• Received: 01 January 2021 Revised: 01 March 2021 Published: 26 May 2021
• Primary: 14J35, 14E05; Secondary: 14C20, 14E30

• We show that, for any nonsingular projective 4-fold $V$ of general type with geometric genus $p_g\geq 2$, the pluricanonical map $\varphi_{33}$ is birational onto the image and the canonical volume ${\rm Vol}(V)$ has the lower bound $\frac{1}{480}$, which improves a previous theorem by Chen and Chen.

Citation: Jianshi Yan. On minimal 4-folds of general type with $p_g \geq 2$[J]. Electronic Research Archive, 2021, 29(5): 3309-3321. doi: 10.3934/era.2021040

### Related Papers:

• We show that, for any nonsingular projective 4-fold $V$ of general type with geometric genus $p_g\geq 2$, the pluricanonical map $\varphi_{33}$ is birational onto the image and the canonical volume ${\rm Vol}(V)$ has the lower bound $\frac{1}{480}$, which improves a previous theorem by Chen and Chen.

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