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- W2170714719 abstract "Matsusaka's Big Theorem gives the very ampleness of mL for an ample line bundle L over an n-dimensional compact complex manifold X when m is no less than a number m0 depending on Ln and Ln†1KX. The de- pendence of m0 on Ln and Ln†1KX is not e«ective. An earlier result of the author gives an e«ective m0 containing the factor † L n†1 ((n + 2)L + KX) iq with q of order 4 n . Demailly improved the order of q to 3 n by reducing the twisting required for the existence of nontrivial global holomorphic sections for anticanonical sheaves of subvarieties which occur in the veri‹cation of the numerical e«ectiveness of pL † KX for some e«ective p. Twisted sections of anticanonical sheaves are needed to o«set the addition of the canonical sheaf in vanishing theorems. We introduce here a technique to get a new bound with q of order 2 n . The technique avoids the use of sections of twisted anticanonical sheaves of subvarieties by transferring the use of vanishing the- orems on subvarieties to X and is more in line with techniques for Fujita conjecture type results." @default.
- W2170714719 created "2016-06-24" @default.
- W2170714719 creator A5024022268 @default.
- W2170714719 date "2002-01-01" @default.
- W2170714719 modified "2023-09-27" @default.
- W2170714719 title "A NEW BOUND FOR THE EFFECTIVE MATSUSAKA BIG THEOREM" @default.
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