Jungkai A. Chen

activity

19992005

most citedA Nonvanishing Theorem for Q-divisors

1 citations · 1 across the 1 of their papers we have counts for

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math.AG2005★ 1 cited

A Nonvanishing Theorem for Q-divisors

Jungkai Alfred Chen, Meng Chen, De-Qi Zhang

We prove a non-vanishing theorem of the cohomology H^0 of the adjoint divisor K_X + L' where L' is the round up of a nef and big Q-divisor L.

math.AG2000

On algebraic fiber spaces over varieties of maximal Albanese dimension

Jungkai A. Chen, Christopher D. Hacon

We study algebraic fiber spaces $f : X ⟶ Y$ where $Y$ is of maximal Albanese dimension. In particular we give an effective version a theorem of Kawamata: If $P_{m} (X) = 1$ …

math.AG2000

Pluricanonical maps of varieties of maximal Albanese dimension

Jungkai A. Chen, Christopher D. Hacon

Let $X$ be a smooth complex projective algebraic variety of maximal Albanese dimension. We give a characterization of $κ (X)$ in terms of the set $V^{0} (X, ω_{X})$ $:=\{P\in {\text{\rm…

math.AG1999

Characterization of Abelian Varieties

Jungkai A. Chen, Christopher D. Hacon

We prove that any smooth complex projective variety $X$ with plurigenera $P_{1} (X) = P_{2} (X) = 1$ and irregularity $q (X) = d im (X)$ is birational to an abelian variety.