Pluricanonical Systems of Projective Varieties of General Type
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 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 the subadjunction formula for AZD’s of logcanoncial divisors.
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 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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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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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.
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