Pluricanonical Systems of Projective 3-fold of General Type
نویسنده
چکیده
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.
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 کامل5 O ct 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
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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
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...
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تاریخ انتشار 2002