H. Tsuji

activity

19992004

collaborators

10 papers

math.CV2004

Pluricanonical systems of projective varieties of general type II

Hajime Tsuji

This is a revised version of the second half of my paper math.AG/9909021. We prove that there exists a positive integer $ν_{n}$ depending only on $n$ such that for every smooth pro…

math.AG2002

Pluricanonical systems of projective 3-folds of general type

Hajime Tsuji

We prove that for every positive integer $m \geq 18 (2^{9} \cdot 3^{7})!$ and every smooth projective 3-fold of general type X defined over complex numbers, $∣ m K_{X} ∣$ gives a…

math.AG2001

Subadjunction theorem for pluricanonical divisors

Hajime Tsuji

We prove a subadjunction theorem which relates the multi-adjoint linear system of the ambient space and the linear system of the restricted bundle on a subvariety.

math.AG2000

Deformation Invariance of Plurigenera

Hajime Tsuji

We prove the invariance of plurigenera under smooth projective deformations in full generality. The proof is done by several estimates of singular hermitian metrics in terms of $L^…

math.AG2000

Effective birationality of pluricanonical systems

Hajime Tsuji

This is a sequal paper to math.AG/9909021. By using the theory of AZD originated by the author, I prove that for every smooth projective $n$ -fold $X$ of general type and every \[ m…

math.AG2000

Bound of automorphisms of projective varieties of general type

Hajime Tsuji

We prove that there exists a positive number $C_{n}$ depending only on $n$ such that for every smooth projective $n$ -fold of general type $X$ defined over {\bf C}, the automorphism…