6 papers
Weak boundedness theorems for canonically fibered Gorenstein minimal threefolds
Meng Chen
Let be a Gorenstein minimal projective 3-fold with at worst locally factorial terminal singularities. Suppose the canonical map is of fiber type. Denote by a smooth model o…
Inequalities of Noether type for 3-folds of general type
Meng Chen
If is a smooth complex projective 3-fold with ample canonical divisor , then the inequality holds, where denotes the geometric genus. This inequ…
On canonically derived families of surfaces of general type over curves
Meng Chen
Suppose X is a smooth projective 3-fold of general type and |mK_X| is composed of a pencil of surfaces with m>1. This pencil naturally induces a fibration f:X->C onto a smooth curv…
On pluricanonical maps for threefolds of general type, II
Meng Chen
This note mainly studies the generic finiteness of ϕ_m of a complex projective 3-fold of general type. A new result on the classification to bicanonical pencil for Gorenstein 3-fol…
On the Q-divisor method and its application
Meng Chen
For smooth projective 3-folds of general type, we prove that the relative canonical stability . This is induced from our improved result of Kollár: the m-canonical ma…
Complex varieties of general type whose canonical systems are composed with pencils
Meng Chen
This paper aims to study canonical pencils of higher dimensional projective varieties. It seems that the geometric genus of the general fibre for the derived fibration from the can…