5 O ct 1 99 9 Pluricanonical systems of projective varieties of general type Hajime TSUJI
نویسنده
چکیده
We prove that there exists a positive integer νn depending only on n such that for every smooth projective n-fold of general type X defined over C, | mKX | gives a birational rational map from X into a projective space for every m ≥ νn. This paper is a concise and refined version of [17]. MSC 32J25
منابع مشابه
. A G ] 3 S ep 1 99 9 Pluricanonical systems of projective varieties of general type Hajime TSUJI
We prove that there exists a positive integer νn depending only on n such that for every smooth projective n-fold of general type X defined over C, | mKX | gives a birational rational map from X into a projective space for every m ≥ νn. This paper is a concise and refined version of [17]. MSC 32J25
متن کاملPluricanonical Systems of Projective Varieties of General Type Ii
We prove that there exists a positive integer νn depending only on n such that for every smooth projective n-fold of general typeX defined over complex numbers, | mKX | gives a birational rational map from X into a projective space for every m ≥ νn. This theorem gives an affirmative answer to Severi’s conjecture.
متن کاملPluricanonical Systems of Projective Varieties of General Type
We prove that there exists a positive integer νn depending only on n such that for every smooth projective n-fold of general type X defined over C, | mKX | gives a birational rational map from X into a projective space for every m ≥ νn. This theorem gives an affirmative answer to Severi’s conjecture. The key ingredients of the proof are the theory of AZD which was originated by the aurhor and t...
متن کاملPluricanonical Systems of Projective 3-fold of General Type
We prove that for every positive integer m ≥ 18(2 · 3)! and every smooth projective 3-fold of general type X defined over complex numbers, | mKX | gives a birational rational map from X into a projective space.
متن کاملCurvature semipositivity of relative pluricanonical systems
We prove semipositivity of the curvature of the Narashimhan-Simha metric on an arbitrary flat projective family of varieties with only canonical singularities. This also implies that the direct image of pluricanonical systems have natural continuous hermitian strucutres with semipositive curvature curvature currents in the sense of Nakano. This paper is a revised version of [T4] using [T5, T6]....
متن کامل