Effective bounds for very ample line bundles
Effective bounds for very ample line bundles
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DOI：
10.1007/s002220050052
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发表时间：
1996-01
影响因子：
3.1
通讯作者：
J. Demailly
中科院分区：
文献类型：
--
作者：
J. Demailly
设是非奇异射影褶皱上的一个充分线丛。它首先表明，这是非常充分的。这个证明发展了Y.T. Siu和是基于一个改进的诺特归纳技术的Nadel乘子理想层的Riemann-Roch定理的组合。在第二部分中，得到了大松坂定理的一个有效形式，改进了Y.T. Siu：参数中有一个显式的多项式度数范围，对于来说非常充足。通过对嵌入射影空间的代数簇的对偶层的一个新的精确上界，得到了加细。
Letbe an ample line bundle on a non singular projective-fold. It is first shown thatis very ample for. The proof develops an original idea of Y.T. Siu and is based on a combination of the Riemann-Roch theorem together with an improved Noetherian induction technique for the Nadel multiplier ideal sheaves. In the second part, an effective version of the big Matsusaka theorem is obtained, refining an earlier version of Y.T. Siu: there is an explicit polynomial boundof degreein the arguments, such thatis very ample for. The refinement is obtained through a new sharp upper bound for the dualizing sheaves of algebraic varieties embedded in projective space.