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math.AG2025
On general type varieties admitting global holomorphic forms
Meng Chen, Zhi Jiang
For all nonsingular projective -folds of general type, we prove the existence of Noether type inequalities in the following form: $$\text{vol}(V)\geq a_{n,k}h^0(Ω_V^k)-b_{n…
math.AG2024
On the bicanonical map of algebraic threefolds of general type
Meng Chen, Chen Jiang, Jianshi Yan
We answer an open problem of the first author and Zhang (see Open Problem 6.4 (3) in Math. Z. 258 (2008), 565-585) and prove that, for any nonsingular projective -fold of genera…