Jungkai Alfred Chen

Pluricanonical maps of varieties of maximal Albanese dimension

Abstract. Let X be a smooth complex projective algebraic variety of maximal Albanese dimension. We give a characterization of

On algebraic fiber spaces over varieties of maximal Albanese dimension

\kappa (X)

KODAIRA DIMENSION OF IRREGULAR VARIETIES

in terms of the set

On quasismooth weighted complete intersections

V^0(X,\omega_{X} ):=\{ P\in{\mbox{\rm Pic}}^0(X)|h^0(X, \omega_X \otimes P) \ne 0\}

On the Irregularity of the Image of the Iitaka Fibration

. An immediate consequence of this is that the Kodaira dimension

The 5-canonical system on 3-folds of general type

\kappa (X)

Explicit birational geometry of 3-folds and 4-folds of general type, III

is invariant under smooth deformations. We then study the pluricanonical maps

Factoring 3-fold flips and divisorial contractions to curves

\varphi _m:X \dashrightarrow \mathbb{P} (H^0(X,mK_X))

On genera of smooth curves in higher dimensional varieties

. We prove that if X is of general type,

Explicit birational geometry of threefolds of general type, I

\varphi _m