Pluricanonical Systems of Projective Varieties of General Type Ii
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 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.
منابع مشابه
On Pluricanonical Systems of Algebraic Varieties of General Type
We extend Kollár’s technique to look for an explicit function h(n) with φm birational onto its image for all integers m ≥ h(n) and for all n-dimensional nonsingular projective varieties of general type.
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We introduce an effective way to compute an explicit function h(n) such that the pluricanonical map φm is birational onto its image for all integers m ≥ h(n) and for all nonsingular projective varieties of general type with dimension ≤ n.
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
متن کامل. 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
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This paper is a continuation of [4, 9, 13]. To classify algebraic varieties is one of the goals in algebraic geometry. One way to study a given variety is to understand the behavior of its pluricanonical maps. The objects concerned here are complex projective 3-folds of general type over C. Let X be such an object and denote by φm the m-th pluricanonical map of X , which is the rational map ass...
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