10 citations · 48 across the 29 of their papers we have counts for
28 papers · 1 filter
Degree of irrationality of abelian surfaces
Songsong Huang, Zhi Jiang, Xin Yang
Let be a complex abelian surface. We prove that admits a dominant rational map of degree three to $\PP^2$ if and only if it admits a polarization of type , ,…
Cohomological rank functions and surfaces of general type with
Jiabin Du, Zhi Jiang, Guoyun Zhang
We classify minimal surfaces with and or .
Singularities of divisors of small degrees on abelian varieties
Zhi Jiang, Hui Liu
Pareschi showed that an ample divisor of degree on a simple abelian variety of dimension has mild singularities when . We extend his result to general polarized abelia…
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,…
Angehrn-Siu-Helmke's method applied to abelian varieties
Zhi Jiang
We apply Angehrn-Siu-Helmke's method to estimate basepoint freeness thresholds of higher dimensional polarized abelian varieties. We showed that a conjecture of Caucci holds for ve…
G-stable rank of symmetric tensors and log canonical threshold
Zhi Jiang
Shitov recently gave a counterexample to Comon's conjecture that the symmetric tensor rank and tensor rank of a symmetric tensor are the same. In this paper we show that an analog…