Abstract
Using the techniques of [20] and [10], we prove that certain log forms may be lifted from a divisor to the ambient variety. As a consequence of this result, following [22], we show that: For any positive integer n there exists an integer r n such that if X is a smooth projective variety of general type and dimension n, then \(\phi_{rK_X}\colon X\dasharrow\mathbb{P}(H^0(\mathcal{O}_{X}(rK_X)))\) is birational for all r≥r n .
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Hacon, C., McKernan, J. Boundedness of pluricanonical maps of varieties of general type. Invent. math. 166, 1–25 (2006). https://doi.org/10.1007/s00222-006-0504-1
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DOI: https://doi.org/10.1007/s00222-006-0504-1