9 papers · 1 filter
Pluricanonical systems of projective 3-folds of general type
Hajime Tsuji
We prove that for every positive integer and every smooth projective 3-fold of general type X defined over complex numbers, gives a…
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.
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^…
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 -fold of general type and every \[ m…
Bound of automorphisms of projective varieties of general type
Hajime Tsuji
We prove that there exists a positive number depending only on such that for every smooth projective -fold of general type defined over {\bf C}, the automorphism…
Numerical trivial fibrations
Hajime Tsuji
We develop an intersection theory for a singular hemitian line bundle with positive curvature current on a smooth projective variety and irreducible curves on the variety. And we p…