An Effective Matsusaka Big Theorem
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CitationSiu, Yum-Tong. 1993. “An Effective Matsusaka Big Theorem.” Annales de L’institut Fourier 43 (5): 1387–1405. https://doi.org/10.5802/aif.1378.
AbstractWe prove the following effective form of Matsusaka's Big Theorem. For an ample line bundle L over a compact complex manifold X of complex dimension n with canonical line bundle K(X), the line bundle mL is very ample for m no less than (2(3n - 1)5n)4n - 1(3(3n - 2)(n)L(n) + K(X) . L(n - 1)4n - 1(3n)/(6(3n - 2)n - 2n - 2)4n - 1n - 2/3(L(n))4n - 1(3)(n - 1)
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