Effective non-vanishing of global sections of multiple adjoint bundles for quasi-polarized n -folds, II
Effective non-vanishing of global sections of multiple adjoint bundles for quasi-polarized n -folds, II
复制标题
准偏振 n 折叠的多个伴随束的全局部分的有效不消失，II
DOI：
10.1142/s0219498816500031
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发表时间：
2016
影响因子：
0.8
通讯作者：
Yoshiaki Fukuma
中科院分区：
文献类型：
--
作者：
Yoshiaki Fukuma
设mNEF（n）是最小正整数p，使得对任意整数m（m ≥ p）和任意拟极化n重（X，L），多重伴随丛h 0（m（KX+ L））的整体截面的维数严格大于零，其中X是只具有有理奇点的复正规Gorenstein投射簇，KX+ L是nef.本文证明了当n ≥ 4时，mNEF（n）≤ 2n - 4成立.
Let mNEF(n) be the smallest positive integer p such that the dimensions of global sections of multiple adjoint bundles h0(m(KX+ L)) are strictly greater than zero for any integer m with m ≥ p and any quasi-polarized n-folds (X, L) for which X is a complex normal Gorenstein projective variety with only rational singularities and KX+ L is nef. In this paper, we prove that mNEF(n) ≤ 2n - 4 holds for n ≥ 4.